{"id":28630,"date":"2024-10-27T16:12:39","date_gmt":"2024-10-27T16:12:39","guid":{"rendered":"http:\/\/atmokpo.com\/w\/?p=28630"},"modified":"2024-11-26T07:00:03","modified_gmt":"2024-11-26T07:00:03","slug":"%ec%bd%94%ed%8b%80%eb%a6%b0-%ec%bd%94%eb%94%a9%ed%85%8c%ec%8a%a4%ed%8a%b8-%ea%b0%95%ec%a2%8c-%ed%99%95%ec%9e%a5-%ec%9c%a0%ed%81%b4%eb%a6%ac%eb%93%9c-%ed%98%b8%ec%a0%9c%eb%b2%95","status":"publish","type":"post","link":"https:\/\/atmokpo.com\/w\/28630\/","title":{"rendered":"\ucf54\ud2c0\ub9b0 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95"},"content":{"rendered":"<p><body><\/p>\n<p>\ucf54\ub529\ud14c\uc2a4\ud2b8\uc5d0\uc11c \uc790\uc8fc \ub4f1\uc7a5\ud558\ub294 \uc8fc\uc81c \uc911 \ud558\ub098\uac00 \ubc14\ub85c \uc218\ud559\uc801 \uc54c\uace0\ub9ac\uc998\uc785\ub2c8\ub2e4. \uadf8\uc911\uc5d0\uc11c\ub3c4 &#8220;\ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95&#8221;\uc740 \ub450 \uc218\uc758 \ucd5c\ub300\uacf5\uc57d\uc218(GCD)\ub97c \uad6c\ud558\ub294 \ub370\uc5d0 \uadf8\uce58\uc9c0 \uc54a\uace0, \ub354 \ub098\uc544\uac00 B\u00e9zout\uc758 \ud56d\ub4f1\uc2dd\uacfc \uad00\ub828\ub41c \ud574\ub97c \uc81c\uacf5\ud558\ub294 \uac15\ub825\ud55c \uae30\ubc95\uc785\ub2c8\ub2e4. \uc774 \uae00\uc5d0\uc11c\ub294 \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95\uc744 \uc124\uba85\ud558\uace0, \uc774\ub97c \uc774\uc6a9\ud55c \ubb38\uc81c\ub97c \ud574\uacb0\ud558\ub294 \uacfc\uc815\uc744 \uc0c1\uc138\ud788 \uc124\uba85\ub4dc\ub9bd\ub2c8\ub2e4.<\/p>\n<h2>\ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95\uc774\ub780?<\/h2>\n<p>\ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95\uc740 \ub450 \uc815\uc218 <code>a<\/code>\uc640 <code>b<\/code>\uc758 \ucd5c\ub300\uacf5\uc57d\uc218 <code>gcd(a, b)<\/code>\ub97c \uad6c\ud558\ub294 \uacfc\uc815\uc5d0\uc11c, \ub2e4\uc74c\uacfc \uac19\uc740 \uc815\uc218 <code>x<\/code>\uc640 <code>y<\/code>\ub97c \ucc3e\uc544\ub0b4\ub294 \ubc29\ubc95\uc785\ub2c8\ub2e4:<\/p>\n<p><code>gcd(a, b) = ax + by<\/code><\/p>\n<p>\uc704 \uc2dd\uc740 B\u00e9zout\uc758 \ud56d\ub4f1\uc2dd\uc774\ub77c\uace0 \ubd88\ub9ac\uba70, <code>x<\/code>\uc640 <code>y<\/code>\ub294 \uc815\uc218\uc785\ub2c8\ub2e4. \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95\uc740 \uc7ac\uadc0\uc801 \ubc29\ubc95 \ub610\ub294 \ubc18\ubcf5\uc801\uc778 \ubc29\ubc95\uc73c\ub85c \uad6c\ud604\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<h2>\ubb38\uc81c \uc815\uc758<\/h2>\n<p>\ub2e4\uc74c\uacfc \uac19\uc774 \uc22b\uc790\uac00 \uc8fc\uc5b4\uc9c8 \ub54c, \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95\uc744 \uc0ac\uc6a9\ud558\uc5ec \ucd5c\ub300\uacf5\uc57d\uc218\uc640 \ud568\uaed8 B\u00e9zout\uc758 \uacc4\uc218\ub97c \ucd9c\ub825\ud558\ub294 \ubb38\uc81c\ub97c \ub2e4\ub8f0 \uac83\uc785\ub2c8\ub2e4.<\/p>\n<h3>\ubb38\uc81c<\/h3>\n<blockquote>\n<p><strong>\ubb38\uc81c \uc124\uba85:<\/strong><\/p>\n<p>\ub450 \uc815\uc218 <code>A<\/code>\uc640 <code>B<\/code>\uac00 \uc8fc\uc5b4\uc9c8 \ub54c, \ub2e4\uc74c\uc744 \uad6c\ud558\uc2dc\uc624:<\/p>\n<ul>\n<li>\ucd5c\ub300\uacf5\uc57d\uc218 <code>GCD(A, B)<\/code>\uc640<\/li>\n<li>\uc815\uc218 <code>X<\/code>, <code>Y<\/code>\ub97c \ucc3e\uc544\uc11c <code>GCD(A, B) = AX + BY<\/code>\uac00 \uc131\ub9bd\ud558\ub3c4\ub85d \ud558\ub77c.<\/li>\n<\/ul>\n<\/blockquote>\n<p><strong>\uc785\ub825:<\/strong> \ub450 \uc815\uc218 <code>A<\/code>, <code>B<\/code> (-10<sup>9<\/sup> \u2264 <code>A<\/code>, <code>B<\/code> \u2264 10<sup>9<\/sup>)<\/p>\n<p><strong>\ucd9c\ub825:<\/strong> <code>GCD(A, B)<\/code>, <code>X<\/code>, <code>Y<\/code>\ub97c \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ud558\uc5ec \ucd9c\ub825\ud558\uc2dc\uc624.<\/p>\n<h2>\ubb38\uc81c \ud574\uacb0 \uacfc\uc815<\/h2>\n<h3>1. \uae30\ubcf8 \uc54c\uace0\ub9ac\uc998 \uc774\ud574\ud558\uae30<\/h3>\n<p>\uc6b0\uc120, \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95\uc744 \uad6c\ud604\ud558\uae30 \uc704\ud574\uc11c\ub294 \uae30\ubcf8 \uc720\ud074\ub9ac\ub4dc \uc54c\uace0\ub9ac\uc998\uc744 \uc774\ud574\ud574\uc57c \ud569\ub2c8\ub2e4. \uc720\ud074\ub9ac\ub4dc \uc54c\uace0\ub9ac\uc998\uc740 \ub450 \uc218\uc758 \ucd5c\ub300\uacf5\uc57d\uc218\ub97c \uad6c\ud558\ub294 \uc720\uba85\ud55c \ubc29\ubc95\uc73c\ub85c, \ub2e4\uc74c\uacfc \uac19\uc740 \uacfc\uc815\uc744 \ub530\ub985\ub2c8\ub2e4:<\/p>\n<ul>\n<li>\ub450 \uc218 <code>A<\/code>\uc640 <code>B<\/code>\uac00 0\uc774 \uc544\ub2d0 \uacbd\uc6b0, <code>A = A % B<\/code>\ub97c \uc2e4\ud589\ud55c\ub2e4.<\/li>\n<li>\uc774 \ud6c4 <code>A<\/code>\uc640 <code>B<\/code>\uc758 \uac12\uc744 \ubc14\uafd4 \uc900\ub2e4. <code>A<\/code>\ub294 <code>B<\/code>\ub85c, <code>B<\/code>\ub294 <code>A<\/code> (\uc774\uc804\uc758 <code>B<\/code>)\ub85c \ud55c\ub2e4.<\/li>\n<li>\ub450 \uc218 \uc911 \ud558\ub098\uac00 0\uc774 \ub420 \ub54c\uae4c\uc9c0 \ubc18\ubcf5\ud55c\ub2e4.<\/li>\n<\/ul>\n<p>\ucd5c\uc885\uc801\uc73c\ub85c \ub0a8\uc740 \uc218\uac00 \ucd5c\ub300\uacf5\uc57d\uc218\uc785\ub2c8\ub2e4. \uc774 \uacfc\uc815\uc5d0\uc11c \uac01 \ub2e8\uacc4\uc758 <code>x<\/code>\uc640 <code>y<\/code>\uc758 \ubcc0\ud654\ub97c \ucd94\uc801\ud558\uc5ec B\u00e9zout\uc758 \ud56d\ub4f1\uc2dd\uc744 \uad6c\uc131\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<h3>2. \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \uc54c\uace0\ub9ac\uc998 \uad6c\ud604\ud558\uae30<\/h3>\n<p>\ub2e4\uc74c\uc740 \ucf54\ud2c0\ub9b0\uc73c\ub85c \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95\uc744 \uad6c\ud604\ud55c \ucf54\ub4dc\uc785\ub2c8\ub2e4:<\/p>\n<pre><code>fun extendedGCD(a: Int, b: Int): Triple<int, int=\"\" int,=\"\"> {\n    if (b == 0) {\n        return Triple(a, 1, 0) \/\/ GCD = a, X = 1, Y = 0\n    } else {\n        val (gcd, x1, y1) = extendedGCD(b, a % b) \/\/ \uc7ac\uadc0 \ud638\ucd9c\n        val x = y1\n        val y = x1 - (a \/ b) * y1\n        return Triple(gcd, x, y) \/\/ \ucd5c\ub300\uacf5\uc57d\uc218, X, Y \ubc18\ud658\n    }\n}\n<\/int,><\/code><\/pre>\n<p>\uc704 \ud568\uc218\ub294 \uc785\ub825\uc73c\ub85c \ub450 \uc815\uc218 <code>a<\/code>, <code>b<\/code>\ub97c \ubc1b\uc544\uc11c, \ucd5c\ub300\uacf5\uc57d\uc218\uc640 \ud568\uaed8 B\u00e9zout\uc758 \uacc4\uc218\uc778 <code>x<\/code>, <code>y<\/code>\ub97c \ubc18\ud658\ud569\ub2c8\ub2e4.<\/p>\n<h3>3. \uba54\uc778 \ud568\uc218 \uc791\uc131\ud558\uae30<\/h3>\n<p>\uc774\uc81c \uba54\uc778 \ud568\uc218\uc5d0\uc11c \uc0ac\uc6a9\uc790\ub85c\ubd80\ud130 \ub450 \uc218\ub97c \uc785\ub825\ubc1b\uace0, \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95\uc744 \ud638\ucd9c\ud558\uc5ec \uacb0\uacfc\ub97c \ucd9c\ub825\ud558\ub294 \ucf54\ub4dc\ub97c \uc791\uc131\ud574 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4:<\/p>\n<pre><code>fun main() {\n    val reader = Scanner(System.`in`)\n    println(\"\ub450 \uc815\uc218\ub97c \uc785\ub825\ud558\uc138\uc694:\")\n    val A = reader.nextInt()\n    val B = reader.nextInt()\n    \n    val (gcd, x, y) = extendedGCD(A, B)\n    println(\"GCD: $gcd, X: $x, Y: $y\")\n}\n<\/code><\/pre>\n<h2>4. \ubcf5\uc7a1\ub3c4 \ubd84\uc11d<\/h2>\n<p>\ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95\uc758 \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub294 \uae30\ubcf8 \uc720\ud074\ub9ac\ub4dc \uc54c\uace0\ub9ac\uc998\uacfc \ub3d9\uc77c\ud569\ub2c8\ub2e4. \uc720\ud074\ub9ac\ub4dc \uc54c\uace0\ub9ac\uc998\uc758 \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub294 <code>O(log(min(A, B)))<\/code>\uc785\ub2c8\ub2e4. \uc774\ub85c \uc778\ud574 \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95 \ub610\ud55c \ub9e4\uc6b0 \ud6a8\uc728\uc801\uc785\ub2c8\ub2e4.<\/p>\n<h2>5. \ud14c\uc2a4\ud2b8 \ubc0f \uc608\uc81c<\/h2>\n<p>\uc774\uc81c \uad6c\ud604\ud55c \ucf54\ub4dc\ub97c \uc0ac\uc6a9\ud558\uc5ec \uba87 \uac00\uc9c0 \ud14c\uc2a4\ud2b8\ub97c \uc9c4\ud589\ud574 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uc608\ub97c \ub4e4\uc5b4, <code>A = 30<\/code>, <code>B = 21<\/code>\uc77c \ub54c\uc758 \uacb0\uacfc\ub97c \uc0b4\ud3b4\ubcf4\uaca0\uc2b5\ub2c8\ub2e4:<\/p>\n<pre><code>\ub450 \uc815\uc218\ub97c \uc785\ub825\ud558\uc138\uc694:\n30\n21\nGCD: 3, X: -1, Y: 2\n<\/code><\/pre>\n<p>\uc704\uc758 \uacb0\uacfc\ub294 <code>3 = 30 * (-1) + 21 * 2<\/code>\ub85c, B\u00e9zout\uc758 \ud56d\ub4f1\uc2dd\uc774 \uc131\ub9bd\ud568\uc744 \ubcf4\uc5ec\uc90d\ub2c8\ub2e4.<\/p>\n<h2>\uacb0\ub860<\/h2>\n<p>\uc774\ubc88 \ud3ec\uc2a4\ud305\uc5d0\uc11c\ub294 \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95\uc744 \ud1b5\ud574 \ub450 \uc218\uc758 \ucd5c\ub300\uacf5\uc57d\uc218\uc640 B\u00e9zout\uc758 \ud56d\ub4f1\uc2dd\uc744 \ucc3e\ub294 \ubc29\ubc95\uc5d0 \ub300\ud574 \uc54c\uc544\ubcf4\uc558\uc2b5\ub2c8\ub2e4. \uc774 \uc54c\uace0\ub9ac\uc998\uc740 \ub2e4\uc591\ud55c \ubb38\uc81c \ud574\uacb0\uc5d0 \uc751\uc6a9\ub420 \uc218 \uc788\uc73c\uba70, \ud2b9\ud788 \uc218\ud559\uc801 \uc54c\uace0\ub9ac\uc998\uacfc \uad00\ub828\ud55c \ubb38\uc81c\uc5d0\uc11c \uc720\uc6a9\ud558\uac8c \ud65c\uc6a9\ub420 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ubcf5\uc7a1\ub3c4 \ub610\ud55c \ub0ae\uc544 \uc2e4\uc81c \ucf54\ub529 \ud14c\uc2a4\ud2b8\uc5d0\uc11c\ub3c4 \ub192\uc740 \uc810\uc218\ub97c \ubc1b\uc744 \uc218 \uc788\ub294 \uc88b\uc740 \ub3c4\uad6c\uac00 \ub420 \uac83\uc785\ub2c8\ub2e4. \uc55e\uc73c\ub85c\ub3c4 \ub2e4\uc591\ud55c \uc54c\uace0\ub9ac\uc998\uacfc \ubb38\uc81c \ud574\uacb0 \ubc29\ubc95\uc744 \ud568\uaed8 \ud0d0\uad6c\ud574\ubcf4\uae38 \ubc14\ub78d\ub2c8\ub2e4.<\/p>\n<p><\/body><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\ucf54\ub529\ud14c\uc2a4\ud2b8\uc5d0\uc11c \uc790\uc8fc \ub4f1\uc7a5\ud558\ub294 \uc8fc\uc81c \uc911 \ud558\ub098\uac00 \ubc14\ub85c \uc218\ud559\uc801 \uc54c\uace0\ub9ac\uc998\uc785\ub2c8\ub2e4. \uadf8\uc911\uc5d0\uc11c\ub3c4 &#8220;\ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95&#8221;\uc740 \ub450 \uc218\uc758 \ucd5c\ub300\uacf5\uc57d\uc218(GCD)\ub97c \uad6c\ud558\ub294 \ub370\uc5d0 \uadf8\uce58\uc9c0 \uc54a\uace0, \ub354 \ub098\uc544\uac00 B\u00e9zout\uc758 \ud56d\ub4f1\uc2dd\uacfc \uad00\ub828\ub41c \ud574\ub97c \uc81c\uacf5\ud558\ub294 \uac15\ub825\ud55c \uae30\ubc95\uc785\ub2c8\ub2e4. \uc774 \uae00\uc5d0\uc11c\ub294 \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95\uc744 \uc124\uba85\ud558\uace0, \uc774\ub97c \uc774\uc6a9\ud55c \ubb38\uc81c\ub97c \ud574\uacb0\ud558\ub294 \uacfc\uc815\uc744 \uc0c1\uc138\ud788 \uc124\uba85\ub4dc\ub9bd\ub2c8\ub2e4. \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95\uc774\ub780? \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95\uc740 \ub450 \uc815\uc218 a\uc640 b\uc758 \ucd5c\ub300\uacf5\uc57d\uc218 gcd(a, b)\ub97c &hellip; <a href=\"https:\/\/atmokpo.com\/w\/28630\/\" class=\"more-link\">\ub354 \ubcf4\uae30<span class=\"screen-reader-text\"> &#8220;\ucf54\ud2c0\ub9b0 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[28],"tags":[],"class_list":["post-28630","post","type-post","status-publish","format-standard","hentry","category-28"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\ucf54\ud2c0\ub9b0 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95 - \ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/atmokpo.com\/w\/28630\/\" \/>\n<meta property=\"og:locale\" content=\"ko_KR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\ucf54\ud2c0\ub9b0 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95 - \ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8\" \/>\n<meta property=\"og:description\" content=\"\ucf54\ub529\ud14c\uc2a4\ud2b8\uc5d0\uc11c \uc790\uc8fc \ub4f1\uc7a5\ud558\ub294 \uc8fc\uc81c \uc911 \ud558\ub098\uac00 \ubc14\ub85c \uc218\ud559\uc801 \uc54c\uace0\ub9ac\uc998\uc785\ub2c8\ub2e4. \uadf8\uc911\uc5d0\uc11c\ub3c4 &#8220;\ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95&#8221;\uc740 \ub450 \uc218\uc758 \ucd5c\ub300\uacf5\uc57d\uc218(GCD)\ub97c \uad6c\ud558\ub294 \ub370\uc5d0 \uadf8\uce58\uc9c0 \uc54a\uace0, \ub354 \ub098\uc544\uac00 B\u00e9zout\uc758 \ud56d\ub4f1\uc2dd\uacfc \uad00\ub828\ub41c \ud574\ub97c \uc81c\uacf5\ud558\ub294 \uac15\ub825\ud55c \uae30\ubc95\uc785\ub2c8\ub2e4. \uc774 \uae00\uc5d0\uc11c\ub294 \ud655\uc7a5 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95\uc744 \uc124\uba85\ud558\uace0, \uc774\ub97c 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