{"id":27690,"date":"2024-10-27T14:43:06","date_gmt":"2024-10-27T14:43:06","guid":{"rendered":"http:\/\/atmokpo.com\/w\/?p=27690"},"modified":"2024-11-26T07:16:09","modified_gmt":"2024-11-26T07:16:09","slug":"c-%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-2","status":"publish","type":"post","link":"https:\/\/atmokpo.com\/w\/27690\/","title":{"rendered":"C++ \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uc624\uc77c\ub7ec \ud53c"},"content":{"rendered":"<p><body><\/p>\n<p>\uc548\ub155\ud558\uc138\uc694! \uc774\ubc88 \uac15\uc88c\uc5d0\uc11c\ub294 C++\ub97c \uc0ac\uc6a9\ud558\uc5ec \uc624\uc77c\ub7ec \ud53c(Euler&#8217;s Totient Function) \ubb38\uc81c\ub97c \ud574\uacb0\ud558\ub294 \ubc29\ubc95\uc5d0 \ub300\ud574 \uc54c\uc544\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uc774 \ubb38\uc81c\ub294 \uc22b\uc790 n\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c, n\ubcf4\ub2e4 \uc791\uac70\ub098 \uac19\uc740 \uc815\uc218 \uc911\uc5d0\uc11c n\uacfc \uc11c\ub85c\uc18c\uc778 \uc815\uc218\uc758 \uac1c\uc218\ub97c \uad6c\ud558\ub294 \ud568\uc218\uc785\ub2c8\ub2e4.<\/p>\n<h2>\uc624\uc77c\ub7ec \ud53c \ud568\uc218\ub780?<\/h2>\n<p>\uc624\uc77c\ub7ec \ud53c \ud568\uc218 \u03c6(n)\uc740 \uc22b\uc790 n\uacfc \uc11c\ub85c\uc18c\uc778 \uc22b\uc790\ub4e4\uc758 \uac1c\uc218\ub97c \ub098\ud0c0\ub0b4\ub294 \ud568\uc218\uc785\ub2c8\ub2e4. \uc608\ub97c \ub4e4\uc5b4:<\/p>\n<ul>\n<li>\u03c6(1) = 1 (1\uc740 \ud56d\uc0c1 \uc790\uc2e0\uacfc \uc11c\ub85c\uc18c)<\/li>\n<li>\u03c6(2) = 1 (2\ubcf4\ub2e4 \uc791\uc740 \uc218 \uc911 2\uc640 \uc11c\ub85c\uc18c\uc778 \uc218\ub294 1)<\/li>\n<li>\u03c6(3) = 2 (1\uacfc 2\uac00 3\uacfc \uc11c\ub85c\uc18c)<\/li>\n<li>\u03c6(4) = 2 (1\uacfc 3\uc774 4\uc640 \uc11c\ub85c\uc18c)<\/li>\n<li>\u03c6(5) = 4 (1, 2, 3, 4\uac00 5\uc640 \uc11c\ub85c\uc18c)<\/li>\n<\/ul>\n<h2>\ubb38\uc81c \uc124\uba85<\/h2>\n<p>\uc8fc\uc5b4\uc9c4 n\uc5d0 \ub300\ud574 \u03c6(n)\uc758 \uac12\uc744 \uacc4\uc0b0\ud558\ub294 \uc54c\uace0\ub9ac\uc998\uc744 \uc791\uc131\ud558\uc138\uc694. \uc785\ub825\uc740 \uc815\uc218 n (1 \u2264 n \u2264 10<sup>6<\/sup>)\uc785\ub2c8\ub2e4.<\/p>\n<h3>\uc608\uc81c \uc785\ub825<\/h3>\n<pre><code>10<\/code><\/pre>\n<h3>\uc608\uc81c \ucd9c\ub825<\/h3>\n<pre><code>4<\/code><\/pre>\n<p>Explanation: 1, 3, 7, 9\uac00 10\uacfc \uc11c\ub85c\uc18c\uc785\ub2c8\ub2e4.<\/p>\n<h2>\ubb38\uc81c\ub97c \ud478\ub294 \uacfc\uc815<\/h2>\n<h3>1\ub2e8\uacc4: \ud504\ub85c\ud37c\ud2f0 \uc774\ud574\ud558\uae30<\/h3>\n<p>\uc624\uc77c\ub7ec \ud53c \ud568\uc218\uc758 \uac12\uc740 \ub2e4\uc74c\uacfc \uac19\uc740 \ud504\ub85c\ud37c\ud2f0\ub97c \uac00\uc9c0\uace0 \uc788\uc2b5\ub2c8\ub2e4:<\/p>\n<ul>\n<li>p\uac00 \uc18c\uc218\uc77c \ub54c, \u03c6(p) = p &#8211; 1<\/li>\n<li>p\uac00 \uc18c\uc218\uc77c \ub54c, \u03c6(p<sup>k<\/sup>) = p<sup>k<\/sup> &#8211; p<sup>k-1<\/sup> = p<sup>k<\/sup>(1 &#8211; 1\/p)<\/li>\n<li>\ub450 \uc18c\uc218 p\uc640 q\uac00 \uc11c\ub85c\uc18c\uc77c \ub54c, \u03c6(p*q) = \u03c6(p) * \u03c6(q)<\/li>\n<\/ul>\n<h3>2\ub2e8\uacc4: \uc5d0\ub77c\ud1a0\uc2a4\ud14c\ub124\uc2a4\uc758 \uccb4\ub97c \ud65c\uc6a9\ud55c \uad6c\uac04 \uacc4\uc0b0<\/h3>\n<p>n\uae4c\uc9c0\uc758 \ubaa8\ub4e0 \uc218\uc758 \uc624\uc77c\ub7ec \ud53c \uac12\uc744 \uad6c\ud558\uae30 \uc704\ud574, \uc5d0\ub77c\ud1a0\uc2a4\ud14c\ub124\uc2a4\uc758 \uccb4 \ubc29\ubc95\uc744 \uc0ac\uc6a9\ud558\uc5ec \ud569\uc131\uc218\ub97c \ucc3e\uc544\uace0, \ud53c \uac12\uc744 \uacc4\uc0b0\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc774 \ubc29\ubc95\uc740 \uc2dc\uac04\ubcf5\uc7a1\ub3c4\uac00 O(n log log n)\uc785\ub2c8\ub2e4.<\/p>\n<h3>3\ub2e8\uacc4: \uc54c\uace0\ub9ac\uc998 \uad6c\ud604<\/h3>\n<p>\ub2e4\uc74c\uc740 C++\ub85c \uc624\uc77c\ub7ec \ud53c \ud568\uc218\ub97c \uacc4\uc0b0\ud558\uae30 \uc704\ud55c \uad6c\ud604\uc785\ub2c8\ub2e4:<\/p>\n<pre><code>\n#include &lt;iostream&gt;\n#include &lt;vector&gt;\n\nusing namespace std;\n\nvoid eulerTotient(int n, vector&lt;int&gt;&amp; phi) {\n    for (int i = 0; i &lt;= n; i++) {\n        phi[i] = i; \/\/ initialize phi\n    }\n    for (int i = 2; i &lt;= n; i++) {\n        if (phi[i] == i) { \/\/ i\uac00 \uc18c\uc218\uc778 \uacbd\uc6b0\n            for (int j = i; j &lt;= n; j += i) {\n                phi[j] *= (i - 1); \/\/ \uc18c\uc218 p\uac00 \ub4e4\uc5b4\uac00\ubbc0\ub85c (1 - 1\/p) \uacf1\ud558\uae30\n                phi[j] \/= i;\n            }\n        }\n    }\n}\n\nint main() {\n    int n;\n    cout &lt;&lt; \"n\uc758 \uac12\uc744 \uc785\ub825\ud558\uc138\uc694: \";\n    cin &gt;&gt; n;\n\n    vector&lt;int&gt; phi(n + 1);\n    eulerTotient(n, phi);\n\n    cout &lt;&lt; \"\u03c6(\" &lt;&lt; n &lt;&lt; \") = \" &lt;&lt; phi[n] &lt;&lt; endl;\n    return 0;\n}\n    <\/code><\/pre>\n<h3>4\ub2e8\uacc4: \ucf54\ub4dc \uc124\uba85<\/h3>\n<p>\uc704 \ucf54\ub4dc\uc5d0\uc11c:<\/p>\n<ul>\n<li>\uccab \ubc88\uc9f8\ub85c, \uac01 \uc218\uc5d0 \ub300\ud574 \u03c6[i]\ub97c \ucd08\uae30\ud654\ud569\ub2c8\ub2e4.<\/li>\n<li>\uadf8 \ub2e4\uc74c\uc73c\ub85c, \uc18c\uc218 i\ub97c \ucc3e\uc544\uc11c \ubaa8\ub4e0 \ubc30\uc218 j\uc5d0 \ub300\ud574 \u03c6[j]\ub97c \uc5c5\ub370\uc774\ud2b8\ud569\ub2c8\ub2e4.<\/li>\n<li>\ucd5c\uc885\uc801\uc73c\ub85c, n\uc758 \uc624\uc77c\ub7ec \ud53c \uac12\uc740 \u03c6[n]\uc5d0 \uc800\uc7a5\ub429\ub2c8\ub2e4.<\/li>\n<\/ul>\n<h3>5\ub2e8\uacc4: \uc131\ub2a5 \uac1c\uc120<\/h3>\n<p>\uc774 \uc54c\uace0\ub9ac\uc998\uc740 O(n log log n)\uc758 \uc131\ub2a5\uc744 \ubcf4\uc785\ub2c8\ub2e4. \uc774\ub294 \ucd5c\ub300 10<sup>6<\/sup> \ubc94\uc704\uc5d0\uc11c\ub3c4 \ud6a8\uc728\uc801\uc73c\ub85c \ub3d9\uc791\ud569\ub2c8\ub2e4.<\/p>\n<h2>\uacb0\ub860<\/h2>\n<p>\uc774\ubc88 \uac15\uc88c\uc5d0\uc11c\ub294 C++\ub97c \uc0ac\uc6a9\ud558\uc5ec \uc624\uc77c\ub7ec \ud53c \ud568\uc218\ub97c \ud6a8\uc728\uc801\uc73c\ub85c \uacc4\uc0b0\ud558\ub294 \ubc29\ubc95\uc744 \ub2e4\ub918\uc2b5\ub2c8\ub2e4. \uc5d0\ub77c\ud1a0\uc2a4\ud14c\ub124\uc2a4\uc758 \uccb4\ub97c \uc774\uc6a9\ud55c \ubc29\ubc95\uc740 \ube60\ub974\uace0 \uc720\uc6a9\ud558\uba70, \ucf54\ub529 \ud14c\uc2a4\ud2b8\uc5d0\uc11c\ub3c4 \uc720\uc6a9\ud558\uac8c \uc0ac\uc6a9\ub420 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc55e\uc73c\ub85c\ub3c4 \ub2e4\uc591\ud55c \uc54c\uace0\ub9ac\uc998\uc744 \uacf5\ubd80\ud558\uba70 \ucf54\ub529 \uc2e4\ub825\uc744 \ud0a4\uc6cc\ubcf4\uc138\uc694!<\/p>\n<h2>\ucc38\uace0 \ubb38\ud5cc<\/h2>\n<ul>\n<li><a href=\"https:\/\/en.wikipedia.org\/wiki\/Euler%27s_totient_function\">Euler&#8217;s Totient Function &#8211; Wikipedia<\/a><\/li>\n<li><a href=\"https:\/\/www.geeksforgeeks.org\/eulers-totient-function-set-2-when-n-is-a-product-of-two-primes\/\">GeeksforGeeks &#8211; Euler&#8217;s Totient Function<\/a><\/li>\n<\/ul>\n<p><\/body><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\uc548\ub155\ud558\uc138\uc694! \uc774\ubc88 \uac15\uc88c\uc5d0\uc11c\ub294 C++\ub97c \uc0ac\uc6a9\ud558\uc5ec \uc624\uc77c\ub7ec \ud53c(Euler&#8217;s Totient Function) \ubb38\uc81c\ub97c \ud574\uacb0\ud558\ub294 \ubc29\ubc95\uc5d0 \ub300\ud574 \uc54c\uc544\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uc774 \ubb38\uc81c\ub294 \uc22b\uc790 n\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c, n\ubcf4\ub2e4 \uc791\uac70\ub098 \uac19\uc740 \uc815\uc218 \uc911\uc5d0\uc11c n\uacfc \uc11c\ub85c\uc18c\uc778 \uc815\uc218\uc758 \uac1c\uc218\ub97c \uad6c\ud558\ub294 \ud568\uc218\uc785\ub2c8\ub2e4. \uc624\uc77c\ub7ec \ud53c \ud568\uc218\ub780? \uc624\uc77c\ub7ec \ud53c \ud568\uc218 \u03c6(n)\uc740 \uc22b\uc790 n\uacfc \uc11c\ub85c\uc18c\uc778 \uc22b\uc790\ub4e4\uc758 \uac1c\uc218\ub97c \ub098\ud0c0\ub0b4\ub294 \ud568\uc218\uc785\ub2c8\ub2e4. \uc608\ub97c \ub4e4\uc5b4: \u03c6(1) = 1 (1\uc740 \ud56d\uc0c1 \uc790\uc2e0\uacfc \uc11c\ub85c\uc18c) \u03c6(2) &hellip; <a href=\"https:\/\/atmokpo.com\/w\/27690\/\" class=\"more-link\">\ub354 \ubcf4\uae30<span class=\"screen-reader-text\"> &#8220;C++ \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uc624\uc77c\ub7ec \ud53c&#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":[25],"tags":[],"class_list":["post-27690","post","type-post","status-publish","format-standard","hentry","category-c---2"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.2 - 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