{"id":2924,"date":"2017-07-07T01:12:21","date_gmt":"2017-07-06T22:12:21","guid":{"rendered":"http:\/\/java.mazurok.com\/?p=2924"},"modified":"2017-07-07T01:19:13","modified_gmt":"2017-07-06T22:19:13","slug":"a324-%d0%b4%d0%b5%d0%bb%d0%b8%d1%82%d0%b5%d0%bb%d0%b8-%d0%be%d0%b4%d0%bd%d0%be%d0%b3%d0%be-%d1%87%d0%b8%d1%81%d0%bb%d0%b0-%d0%b2%d0%b7%d0%b0%d0%b8%d0%bc%d0%bd%d0%be-%d0%bf%d1%80%d0%be%d1%81%d1%82","status":"publish","type":"post","link":"https:\/\/java.mazurok.com\/?p=2924","title":{"rendered":"A324. \u0414\u0435\u043b\u0438\u0442\u0435\u043b\u0438 \u043e\u0434\u043d\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430, \u0432\u0437\u0430\u0438\u043c\u043d\u043e \u043f\u0440\u043e\u0441\u0442\u044b\u0435 \u0441 \u0434\u0440\u0443\u0433\u0438\u043c"},"content":{"rendered":"

\u0417\u0430\u0434\u0430\u0447\u0430<\/strong><\/p>\n

\u0414\u0430\u043d\u044b \u0446\u0435\u043b\u044b\u0435 \u0447\u0438\u0441\u043b\u0430 [latex]p[\/latex] \u0438 [latex]q[\/latex]. \u041f\u043e\u043b\u0443\u0447\u0438\u0442\u044c \u0432\u0441\u0435 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0438 \u0447\u0438\u0441\u043b\u0430 [latex]q[\/latex],\u00a0\u0432\u0437\u0430\u0438\u043c\u043d\u043e \u043f\u0440\u043e\u0441\u0442\u044b\u0435 \u0441 \u0447\u0438\u0441\u043b\u043e\u043c [latex]p[\/latex].<\/p>\n

\u0422\u0435\u0441\u0442\u044b<\/strong><\/p>\n\n\n\n\n\n
q<\/em><\/td>\np<\/i><\/td>\n\u0412\u0441\u0435 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0438 \u0447\u0438\u0441\u043b\u0430 q,\u00a0\u0432\u0437\u0430\u0438\u043c\u043d\u043e \u043f\u0440\u043e\u0441\u0442\u044b\u0435 \u0441 \u0447\u0438\u0441\u043b\u043e\u043c p<\/em><\/td>\n<\/tr>\n
40<\/td>\n15<\/td>\n1 2 4 8<\/td>\n<\/tr>\n
87<\/td>\n3<\/td>\n1 29<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
import java.util.*;\r\nimport java.lang.*;\r\nimport java.io.*;\r\n\r\n\/* Name of the class has to be \"Main\" only if the class is public. *\/\r\nclass Ideone\r\n{\r\n\tpublic static long gcd(long x, long y){\r\n\t\treturn (y != 0) ? gcd(y, x%y) : x;\r\n\t}\r\n\tpublic static void main (String[] args) \r\n\t{\r\n\t\tint q = 0, p;\r\n\t\tScanner in = new Scanner(System.in);\r\n\t\tq = in.nextInt();\r\n\t\tp = in.nextInt();\r\n\t\tfor (int i = 1; i <= q; i++)\r\n\t\t{ \r\n        \tif((q % i) == 0) {\r\n            \tif (gcd(i,p) == 1)\r\n                \tSystem.out.println(i + \" \");\r\n        \t}\r\n    \t}\r\n\t}\r\n}<\/pre>\n
\u0420\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/p>\n
\u0412\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0441\u044f \u0440\u0435\u043a\u0443\u0440\u0441\u0438\u0432\u043d\u043e\u0439 \u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u0435\u0439 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430 \u0415\u0432\u043a\u043b\u0438\u0434\u0430. \u041f\u0443\u0441\u0442\u044c\u00a0m<\/span>\u00a0\u0438\u00a0n<\/span>\u00a0 —\u00a0\u043d\u0435 \u0440\u0430\u0432\u043d\u044b\u0435 \u043d\u0443\u043b\u044e \u0446\u0435\u043b\u044b\u0435 \u043d\u0435\u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0447\u0438\u0441\u043b\u0430, \u0438 \u043f\u0443\u0441\u0442\u044c [latex]m\\geq n[\/latex].\u00a0\u0422\u043e\u0433\u0434\u0430, \u0435\u0441\u043b\u0438 [latex]n=0[\/latex], [latex]GCD(n,m)=m[\/latex], \u0430 \u0435\u0441\u043b\u0438 [latex]n\\neq 0[\/latex], \u0442\u043e \u0434\u043b\u044f \u0447\u0438\u0441\u0435\u043b [latex]m,n[\/latex] \u0438 [latex]k[\/latex], \u0433\u0434\u0435 [latex]k[\/latex], \u0433\u0434\u0435\u00a0[latex]k[\/latex] — \u043e\u0441\u0442\u0430\u0442\u043e\u043a \u043e\u0442 \u0434\u0435\u043b\u0435\u043d\u0438\u044f\u00a0[latex]m[\/latex] \u0438\u00a0[latex]n[\/latex], \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0441\u044f \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e\u00a0[latex]GCD(m,n)=GCD(n,k)[\/latex].<\/p>\n
\u0414\u043b\u044f \u043d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u044f \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0435\u0439 \u0447\u0438\u0441\u043b\u0430 [latex]q[\/latex] \u0432\u0437\u0430\u0438\u043c\u043d\u043e \u043f\u0440\u043e\u0441\u0442\u044b\u0445 \u0441\u00a0[latex]p[\/latex],\u00a0\u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0430 \u043f\u0440\u043e\u0432\u0435\u0440\u044f\u0435\u0442 \u043e\u0441\u0442\u0430\u0442\u043a\u0438 \u043e\u0442 \u0434\u0435\u043b\u0435\u043d\u0438\u044f\u00a0[latex]q[\/latex]\u00a0\u043d\u0430 \u0432\u0441\u0435 \u0447\u0438\u0441\u043b\u0430\u00a0[latex]i[\/latex] \u043e\u0442 [latex]1[\/latex] \u0434\u043e [latex]q[\/latex].\u00a0\u0415\u0441\u043b\u0438 \u043e\u0441\u0442\u0430\u0442\u043e\u043a \u0440\u0430\u0432\u0435\u043d \u043d\u0443\u043b\u044e, \u0442\u043e \u0447\u0438\u0441\u043b\u043e\u00a0[latex]i[\/latex]\u00a0 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0435\u043c [latex]q[\/latex].\u00a0\u0414\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0442\u0430\u043a\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430 \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0441\u044f \u043f\u043e\u0438\u0441\u043a \u043d\u0430\u0438\u0431\u043e\u043b\u044c\u0448\u0435\u0433\u043e \u043e\u0431\u0449\u0435\u0433\u043e \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f (\u041d\u041e\u0414 \u2014 Greatest common divisor, GCD) [latex]i[\/latex] \u0438\u00a0[latex]p[\/latex] \u043f\u043e \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0443 \u0415\u0432\u043a\u043b\u0438\u0434\u0430.\u00a0[latex]1[\/latex], \u0442\u043e \u0447\u0438\u0441\u043b\u0430\u00a0[latex]i[\/latex] \u0438 [latex]p[\/latex]\u00a0\u0432\u0437\u0430\u0438\u043c\u043d\u043e \u043f\u0440\u043e\u0441\u0442\u044b\u0435.<\/p>\n","protected":false},"excerpt":{"rendered":"
\u0417\u0430\u0434\u0430\u0447\u0430 \u0414\u0430\u043d\u044b \u0446\u0435\u043b\u044b\u0435 \u0447\u0438\u0441\u043b\u0430 [latex]p[\/latex] \u0438 [latex]q[\/latex]. \u041f\u043e\u043b\u0443\u0447\u0438\u0442\u044c \u0432\u0441\u0435 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0438 \u0447\u0438\u0441\u043b\u0430 [latex]q[\/latex],\u00a0\u0432\u0437\u0430\u0438\u043c\u043d\u043e \u043f\u0440\u043e\u0441\u0442\u044b\u0435 \u0441 \u0447\u0438\u0441\u043b\u043e\u043c [latex]p[\/latex]. \u0422\u0435\u0441\u0442\u044b q p \u0412\u0441\u0435 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0438 \u0447\u0438\u0441\u043b\u0430 q,\u00a0\u0432\u0437\u0430\u0438\u043c\u043d\u043e \u043f\u0440\u043e\u0441\u0442\u044b\u0435 \u0441 \u0447\u0438\u0441\u043b\u043e\u043c p 40 15 1 2 4 8 87 3 1 29 import java.util.*; import java.lang.*; import java.io.*; \/* Name of the class has to be «Main» only if the … Continue reading →<\/span><\/a><\/p>\n","protected":false},"author":102,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[41,223,299,300,219,75],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/java.mazurok.com\/index.php?rest_route=\/wp\/v2\/posts\/2924"}],"collection":[{"href":"https:\/\/java.mazurok.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/java.mazurok.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/java.mazurok.com\/index.php?rest_route=\/wp\/v2\/users\/102"}],"replies":[{"embeddable":true,"href":"https:\/\/java.mazurok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2924"}],"version-history":[{"count":12,"href":"https:\/\/java.mazurok.com\/index.php?rest_route=\/wp\/v2\/posts\/2924\/revisions"}],"predecessor-version":[{"id":2941,"href":"https:\/\/java.mazurok.com\/index.php?rest_route=\/wp\/v2\/posts\/2924\/revisions\/2941"}],"wp:attachment":[{"href":"https:\/\/java.mazurok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2924"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/java.mazurok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2924"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/java.mazurok.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2924"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}