{"id":28524,"date":"2024-10-27T16:11:56","date_gmt":"2024-10-27T16:11:56","guid":{"rendered":"http:\/\/atmokpo.com\/w\/?p=28524"},"modified":"2024-11-26T07:01:34","modified_gmt":"2024-11-26T07:01:34","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-%ec%98%a4%ec%9d%bc%eb%9f%ac-%ed%94%bc-%ed%95%a8%ec%88%98-%ea%b5%ac%ed%98%84%ed%95%98%ea%b8%b0","status":"publish","type":"post","link":"https:\/\/atmokpo.com\/w\/28524\/","title":{"rendered":"\ucf54\ud2c0\ub9b0 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uc624\uc77c\ub7ec \ud53c \ud568\uc218 \uad6c\ud604\ud558\uae30"},"content":{"rendered":"<p><body><\/p>\n<h2>1. \uc11c\ub860<\/h2>\n<p>\n        \ucf54\ub529 \ud14c\uc2a4\ud2b8\ub97c \ub300\ube44\ud558\uae30 \uc704\ud55c \uc5ec\ub7ec \uc54c\uace0\ub9ac\uc998 \ubb38\uc81c\ub4e4\uc774 \uc874\uc7ac\ud569\ub2c8\ub2e4. \uadf8\uc911\uc5d0\uc11c\ub3c4 \uc218\ud559\uc801\uc778 \uc0ac\uace0\uac00 \uc911\uc694\ud55c \ubb38\uc81c\ub4e4\uc774 \ub9ce\uc2b5\ub2c8\ub2e4. \uc624\ub298\uc740 Euler&#8217;s Totient Function, \uc989 \uc624\uc77c\ub7ec \ud53c \ud568\uc218\uc5d0 \ub300\ud574 \uc54c\uc544\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uc624\uc77c\ub7ec \ud53c \ud568\uc218\ub294 \uc815\uc218 n\uc5d0 \ub300\ud574 1\ubd80\ud130 n\uae4c\uc9c0\uc758 \uc815\uc218 \uc911\uc5d0\uc11c n\uacfc \uc11c\ub85c\uc18c\uc778 \uc815\uc218\uc758 \uac1c\uc218\ub97c \ubc18\ud658\ud569\ub2c8\ub2e4. \uc774 \ud568\uc218\ub294 \uc218\ub860\uc5d0\uc11c \ub9e4\uc6b0 \uc911\uc694\ud55c \uc5ed\ud560\uc744 \ud558\uba70, \ud2b9\ud788 \uc554\ud638\ud559\uc801 \uc54c\uace0\ub9ac\uc998\uc5d0\uc11c \uc790\uc8fc \uc0ac\uc6a9\ub429\ub2c8\ub2e4.\n    <\/p>\n<h2>2. \uc624\uc77c\ub7ec \ud53c \ud568\uc218 \uc774\ud574\ud558\uae30<\/h2>\n<p>\n        \uc624\uc77c\ub7ec \ud53c \ud568\uc218 \u03c6(n)\uc740 \ub2e4\uc74c\uacfc \uac19\uc740 \uc131\uc9c8\uc744 \uac00\uc9d1\ub2c8\ub2e4:<\/p>\n<ul>\n<li>\u03c6(1) = 1<\/li>\n<li>p\uac00 \uc18c\uc218\uc77c \ub54c, \u03c6(p) = p &#8211; 1<\/li>\n<li>p\uac00 \uc18c\uc218\uc774\uace0 k\uac00 \uc790\uc5f0\uc218\uc77c \ub54c, \u03c6(p^k) = p^k &#8211; p^(k-1)<\/li>\n<li>\ub450 \uc218\uac00 \uc11c\ub85c\uc18c\uc77c \ub54c, \u03c6(m * n) = \u03c6(m) * \u03c6(n)<\/li>\n<\/ul>\n<p>\n        \uc624\uc77c\ub7ec \ud53c \ud568\uc218\ub97c \uad6c\ud558\ub294 \uac00\uc7a5 \uc77c\ubc18\uc801\uc778 \ubc29\ubc95\uc740 \uc18c\uc218\ub97c \uc774\uc6a9\ud55c \uc57d\uc218 \ubd84\ud574\uc785\ub2c8\ub2e4. \uc8fc\uc5b4\uc9c4 \uc815\uc218 n\uc758 \uc18c\uc778\uc218 \ubd84\ud574\ub97c \ud1b5\ud574 \ud574\ub2f9 \uac12\uc744 \uad6c\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc608\ub97c \ub4e4\uc5b4, n = 12\uc77c \uacbd\uc6b0, \uc18c\uc778\uc218 \ubd84\ud574\ub294 2^2 * 3^1\ub85c \ud45c\ud604\ud560 \uc218 \uc788\uc73c\uba70, \uc774 \ub54c \u03c6(12)\uc758 \uac12\uc744 \uad6c\ud558\uae30 \uc704\ud574 \ub2e4\uc74c \uacf5\uc2dd\uc744 \uc0ac\uc6a9\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.\n    <\/p>\n<p>\n<strong>\u03c6(n) = n * (1 &#8211; 1\/p1) * (1 &#8211; 1\/p2) * &#8230; * (1 &#8211; 1\/pk)<\/strong>\n<\/p>\n<p>\n        \uc5ec\uae30\uc11c p1, p2, &#8230;, pk\ub294 n\uc758 \uc18c\uc778\uc218\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c 12\uc758 \uacbd\uc6b0 \u03c6(12)\ub294 \ub2e4\uc74c\uacfc \uac19\uc774 \uacc4\uc0b0\ub429\ub2c8\ub2e4:\n    <\/p>\n<p>\n        \u03c6(12) = 12 * (1 &#8211; 1\/2) * (1 &#8211; 1\/3) = 12 * 1\/2 * 2\/3 = 4\n    <\/p>\n<h2>3. \ubb38\uc81c \uc815\uc758<\/h2>\n<p>\n        \uc8fc\uc5b4\uc9c4 \uc815\uc218 n\uc5d0 \ub300\ud574 \u03c6(n)\uc758 \uac12\uc744 \ubc18\ud55c\ud558\ub294 \ucf54\ud2c0\ub9b0 \ud568\uc218\ub97c \uad6c\ud604\ud558\ub294 \ubb38\uc81c\uc785\ub2c8\ub2e4. \uc774 \ubb38\uc81c\ub294 \ub2e8\uc21c\ud788 \u03c6(n)\uc758 \uac12\uc744 \uad6c\ud558\ub294 \uac83\ubfd0\ub9cc \uc544\ub2c8\ub77c, \uc54c\uace0\ub9ac\uc998\uc758 \ud6a8\uc728\uc131\uc744 \uace0\ub824\ud558\uc5ec \uad6c\ud604\ud574\uc57c \ud569\ub2c8\ub2e4.\n    <\/p>\n<p>\n        **\ubb38\uc81c**: \uc790\uc5f0\uc218 n\uc774 \uc8fc\uc5b4\uc9c8 \ub54c, \uc624\uc77c\ub7ec \ud53c \ud568\uc218 \u03c6(n)\uc758 \uac12\uc744 \ubc18\ud658\ud558\ub294 \ud568\uc218\ub97c \ucf54\ud2c0\ub9b0\uc73c\ub85c \uad6c\ud604\ud558\uc2dc\uc624.\n    <\/p>\n<h2>4. \ubb38\uc81c \ud480\uc774 \uacfc\uc815<\/h2>\n<h3>4.1 \uc54c\uace0\ub9ac\uc998 \uc124\uacc4<\/h3>\n<p>\n        \uc624\uc77c\ub7ec \ud53c \ud568\uc218\ub97c \uacc4\uc0b0\ud558\ub294 \ub370 \uc788\uc5b4 \ud6a8\uc728\uc801\uc778 \ubc29\ubc95\uc740 \uc18c\uc778\uc218 \ubd84\ud574\ub97c \uc774\uc6a9\ud558\ub294 \uac83\uc785\ub2c8\ub2e4. \uc54c\uace0\ub9ac\uc998\uc740 \ub2e4\uc74c\uacfc \uac19\uc740 \ub2e8\uacc4\ub85c \uad6c\uc131\ub429\ub2c8\ub2e4:<\/p>\n<ol>\n<li>\uc785\ub825\ubc1b\uc740 \uc790\uc5f0\uc218 n\uc5d0 \ub300\ud574 \ucd08\uae30\uac12\uc73c\ub85c result\ub97c n\uc73c\ub85c \uc124\uc815\ud569\ub2c8\ub2e4.<\/li>\n<li>2\ubd80\ud130 n\uc758 \uc81c\uacf1\uadfc\uae4c\uc9c0\uc758 \ubaa8\ub4e0 \uc815\uc218 p\uc5d0 \ub300\ud574:<\/li>\n<li>  \ub9cc\uc57d p\uac00 n\uc758 \uc18c\uc778\uc218\ub77c\uba74, result = result * (1 &#8211; 1\/p) \ud558\uace0 n\uc744 p\ub85c \ub098\ub208\ub2e4.<\/li>\n<li>\ucd5c\uc885\uc801\uc73c\ub85c n\uc774 1\ubcf4\ub2e4 \ud06c\ub2e4\uba74, n\uc740 \uc18c\uc218\uc774\ubbc0\ub85c result = result * (1 &#8211; 1\/n)\uc73c\ub85c \ucc98\ub9ac\ud55c\ub2e4.<\/li>\n<li>result\ub97c \ubc18\ud658\ud55c\ub2e4.<\/li>\n<\/ol>\n<h3>4.2 \ucf54\ub529<\/h3>\n<pre>\n    <code>\n    fun eulerTotient(n: Int): Int {\n        var result = n\n        var p: Int = 2\n        var tempN = n\n\n        while (p * p &lt;= tempN) {\n            if (tempN % p == 0) {\n                \/\/ p\uac00 \uc18c\uc778\uc218\uc77c \uacbd\uc6b0\n                while (tempN % p == 0) {\n                    tempN \/= p\n                }\n                result *= (p - 1)\n                result \/= p\n            }\n            p++\n        }\n\n        \/\/ \ub0a8\uc740 \uc18c\uc218\n        if (tempN &gt; 1) {\n            result *= (tempN - 1)\n            result \/= tempN\n        }\n\n        return result\n    }\n    <\/code>\n    <\/pre>\n<h3>4.3 \ucf54\ub4dc \uc124\uba85<\/h3>\n<p>\n        \uc704\uc758 \ucf54\ub4dc\ub294 \ub2e4\uc74c\uacfc \uac19\uc740 \uacfc\uc815\uc744 \ud1b5\ud574 \uc624\uc77c\ub7ec \ud53c \ud568\uc218\ub97c \uad6c\ud604\ud569\ub2c8\ub2e4:<\/p>\n<ol>\n<li>\ubcc0\uc218 <strong>result<\/strong>\ub97c n\uc73c\ub85c \ucd08\uae30\ud654\ud558\uc5ec n\uc5d0 \ub300\ud55c \u03c6(n)\uc758 \uac12\uc744 \ubcf4\uad00\ud569\ub2c8\ub2e4.<\/li>\n<li><strong>p<\/strong>\ub294 2\ubd80\ud130 \uc2dc\uc791\ud558\uc5ec n\uc758 \uc81c\uacf1\uadfc\uae4c\uc9c0 \ubaa8\ub4e0 \uc815\uc218\ub97c \uc21c\ud68c\ud569\ub2c8\ub2e4.<\/li>\n<li>\ub9cc\uc57d n\uc774 <strong>p<\/strong>\ub85c \ub098\ub204\uc5b4 \ub5a8\uc5b4\uc9c0\uba74, <strong>p<\/strong>\ub294 n\uc758 \uc18c\uc778\uc218\uc785\ub2c8\ub2e4.<\/li>\n<li>n\uc744 <strong>p<\/strong>\ub85c \uc644\uc804\ud788 \ub098\ub204\uace0 result\ub97c \uc5c5\ub370\uc774\ud2b8\ud569\ub2c8\ub2e4.<\/li>\n<li>\ubaa8\ub4e0 \uc18c\uc778\uc218\ub97c \ucc98\ub9ac\ud55c \ud6c4, \ub9cc\uc57d n\uc774 1\ubcf4\ub2e4 \ud06c\ub2e4\uba74, n\uc740 \uc720\uc77c\ud55c \uc18c\uc218\ub85c \uacb0\uacfc\uc5d0 \ubc18\uc601\ud569\ub2c8\ub2e4.<\/li>\n<\/ol>\n<h2>5. \uc131\ub2a5 \ubd84\uc11d<\/h2>\n<p>\n        \uc704\uc758 \uc54c\uace0\ub9ac\uc998\uc740 O(\u221an)\uc758 \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub97c \uac00\uc9c0\ubbc0\ub85c \ub9e4\uc6b0 \ud6a8\uc728\uc801\uc785\ub2c8\ub2e4. \ub300\ub7c9\uc758 \ub370\uc774\ud130\uc5d0\uc11c\ub3c4 \ube60\ub974\uac8c \u03c6(n)\uc744 \uacc4\uc0b0\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. 1,000,000\uacfc \uac19\uc740 \ud070 \uc218\uc5d0 \ub300\ud574 \uc2e4\ud589\ud574\ub3c4 \uc131\ub2a5\uc740 \ubb38\uc81c\uac00 \uc5c6\uc2b5\ub2c8\ub2e4.\n    <\/p>\n<h2>6. \uc608\uc81c<\/h2>\n<p>\n        \ub2e4\uc74c\uc740 \ud568\uc218\uc758 \uc0ac\uc6a9 \uc608\uc2dc\uc785\ub2c8\ub2e4:\n    <\/p>\n<pre>\n    <code>\n    fun main() {\n        println(\"\u03c6(1) = \" + eulerTotient(1)) \/\/ 1\n        println(\"\u03c6(12) = \" + eulerTotient(12)) \/\/ 4\n        println(\"\u03c6(13) = \" + eulerTotient(13)) \/\/ 12\n        println(\"\u03c6(30) = \" + eulerTotient(30)) \/\/ 8\n        println(\"\u03c6(100) = \" + eulerTotient(100)) \/\/ 40\n    }\n    <\/code>\n    <\/pre>\n<h2>7. \uacb0\ub860<\/h2>\n<p>\n        \uc624\ub298\uc740 Euler&#8217;s Totient Function\uc744 \uc774\ud574\ud558\uace0 \uc774\ub97c \ucf54\ud2c0\ub9b0\uc73c\ub85c \uad6c\ud604\ud558\ub294 \ubc29\ubc95\uc744 \uc54c\uc544\ubcf4\uc558\uc2b5\ub2c8\ub2e4. \uc774 \ubb38\uc81c\ub294 \ucf54\ud14c\uc5d0\uc11c \uc790\uc8fc \ub4f1\uc7a5\ud558\ub294 \ub0b4\uc6a9 \uc911 \ud558\ub098\uc774\uba70, \uc218\ud559\uc801\uc778 \uc0ac\uace0\uc640 \uc54c\uace0\ub9ac\uc998\uc801 \uc811\uadfc \ubc29\uc2dd\uc774 \ubaa8\ub450 \uc694\uad6c\ub418\ubbc0\ub85c \uc5f0\uc2b5\uc774 \ud544\uc694\ud569\ub2c8\ub2e4. \ub2e4\uc591\ud55c \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub97c \ud1b5\ud574 \uad6c\ud604\ud55c \ud568\uc218\ub97c \uac80\uc99d\ud558\uace0, \ub354 \ub098\uc544\uac00 \ud655\uc7a5\ub41c \ubb38\uc81c\ub3c4 \uc2dc\ub3c4\ud574\ubcf4\uc2dc\uae30 \ubc14\ub78d\ub2c8\ub2e4.\n    <\/p>\n<p>\n        \uc774\uc640 \uac19\uc740 \uc54c\uace0\ub9ac\uc998 \ubb38\uc81c \ud480\uc774 \uac15\uc88c\ub97c \ud1b5\ud574 \uc880 \ub354 \ub9ce\uc740 \uc0ac\ub78c\ub4e4\uacfc \uc9c0\uc2dd\uc744 \uacf5\uc720\ud558\uace0, \ud568\uaed8 \uc131\uc7a5\ud560 \uc218 \uc788\uae30\ub97c \ubc14\ub78d\ub2c8\ub2e4.\n    <\/p>\n<h2>8. \ucc38\uace0 \ubb38\ud5cc<\/h2>\n<ul>\n<li>Concrete Mathematics: A Foundation for Computer Science by Ronald L. Graham, Donald E. Knuth, and Oren Patashnik<\/li>\n<li>Introduction to Algorithms by Thomas H. Cormen et al.<\/li>\n<li>Number Theory: A Modern Introduction by Andrew P. Erdos<\/li>\n<\/ul>\n<p><\/body><\/p>\n","protected":false},"excerpt":{"rendered":"<p>1. \uc11c\ub860 \ucf54\ub529 \ud14c\uc2a4\ud2b8\ub97c \ub300\ube44\ud558\uae30 \uc704\ud55c \uc5ec\ub7ec \uc54c\uace0\ub9ac\uc998 \ubb38\uc81c\ub4e4\uc774 \uc874\uc7ac\ud569\ub2c8\ub2e4. \uadf8\uc911\uc5d0\uc11c\ub3c4 \uc218\ud559\uc801\uc778 \uc0ac\uace0\uac00 \uc911\uc694\ud55c \ubb38\uc81c\ub4e4\uc774 \ub9ce\uc2b5\ub2c8\ub2e4. \uc624\ub298\uc740 Euler&#8217;s Totient Function, \uc989 \uc624\uc77c\ub7ec \ud53c \ud568\uc218\uc5d0 \ub300\ud574 \uc54c\uc544\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uc624\uc77c\ub7ec \ud53c \ud568\uc218\ub294 \uc815\uc218 n\uc5d0 \ub300\ud574 1\ubd80\ud130 n\uae4c\uc9c0\uc758 \uc815\uc218 \uc911\uc5d0\uc11c n\uacfc \uc11c\ub85c\uc18c\uc778 \uc815\uc218\uc758 \uac1c\uc218\ub97c \ubc18\ud658\ud569\ub2c8\ub2e4. \uc774 \ud568\uc218\ub294 \uc218\ub860\uc5d0\uc11c \ub9e4\uc6b0 \uc911\uc694\ud55c \uc5ed\ud560\uc744 \ud558\uba70, \ud2b9\ud788 \uc554\ud638\ud559\uc801 \uc54c\uace0\ub9ac\uc998\uc5d0\uc11c \uc790\uc8fc \uc0ac\uc6a9\ub429\ub2c8\ub2e4. 2. \uc624\uc77c\ub7ec &hellip; <a href=\"https:\/\/atmokpo.com\/w\/28524\/\" class=\"more-link\">\ub354 \ubcf4\uae30<span class=\"screen-reader-text\"> &#8220;\ucf54\ud2c0\ub9b0 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uc624\uc77c\ub7ec \ud53c \ud568\uc218 \uad6c\ud604\ud558\uae30&#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-28524","post","type-post","status-publish","format-standard","hentry","category-28"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.2 - 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