{"id":281,"date":"2019-09-25T14:26:47","date_gmt":"2019-09-25T06:26:47","guid":{"rendered":"http:\/\/www.guanhaobo.cn\/?p=281"},"modified":"2019-09-25T14:26:47","modified_gmt":"2019-09-25T06:26:47","slug":"vijos-p1131-%e6%9c%80%e5%b0%8f%e5%85%ac%e5%80%8d%e6%95%b0%e5%92%8c%e6%9c%80%e5%a4%a7%e5%85%ac%e7%ba%a6%e6%95%b0%e9%97%ae%e9%a2%98","status":"publish","type":"post","link":"https:\/\/www.guanhaobo.cn\/?p=281","title":{"rendered":"Vijos P1131 \u2014 \u6700\u5c0f\u516c\u500d\u6570\u548c\u6700\u5927\u516c\u7ea6\u6570\u95ee\u9898"},"content":{"rendered":"

\u9898\u76ee<\/h3>\n

\u8f93\u5165\u4e8c\u4e2a\u6b63\u6574\u6570x0,y0(2\u2264x0\u2264100000\uff0c2\u2264y0\u22641000000)\uff0c\u6c42\u51fa\u6ee1\u8db3\u4e0b\u5217\u6761\u4ef6\u7684P\u3001Q\u7684\u4e2a\u6570\u3002<\/p>\n

\u6761\u4ef6:1.P\u3001Q\u662f\u6b63\u6574\u6570
\n2.\u8981\u6c42P\u3001Q\u4ee5x0\u4e3a\u6700\u5927\u516c\u7ea6\u6570\uff0c\u4ee5y0\u4e3a\u6700\u5c0f\u516c\u500d\u6570\u3002<\/p>\n

\u8bd5\u6c42\uff0c\u6ee1\u8db3\u6761\u4ef6\u7684\u6240\u6709\u53ef\u80fd\u7684\u4e24\u4e2a\u6b63\u6574\u6570\u7684\u4e2a\u6570\u3002<\/p>\n

\u9898\u76ee\u94fe\u63a5<\/h3>\n

https:\/\/vijos.org\/p\/1131<\/a><\/p>\n

\u8f93\u5165\u6570\u636e<\/h3>\n

\u4e24\u4e2a\u6b63\u6574\u6570<\/p>\n

\u8f93\u51fa\u6570\u636e<\/h3>\n

\u6ee1\u8db3\u6761\u4ef6\u7684\u6240\u6709\u53ef\u80fd\u7684\u4e24\u4e2a\u6b63\u6574\u6570\u7684\u4e2a\u6570<\/p>\n

\u6837\u4f8b\u8f93\u5165<\/h3>\n

3 60<\/code><\/p>\n

\u6837\u4f8b\u8f93\u51fa<\/h3>\n

4<\/code><\/p>\n

\u63d0\u793a<\/h3>\n

\u8bf4\u660e\uff1a(\u4e0d\u7528\u8f93\u51fa)\u6b64\u65f6\u7684 P Q \u5206\u522b\u4e3a\uff1a
\n3 60
\n15 12
\n12 15
\n60 3
\n\u6240\u4ee5\uff0c\u6ee1\u8db3\u6761\u4ef6\u7684\u6240\u6709\u53ef\u80fd\u7684\u4e24\u4e2a\u6b63\u6574\u6570\u7684\u4e2a\u6570\u51714\u79cd<\/p>\n

\u6765\u6e90<\/h3>\n

noip2001\u666e\u53ca\u7ec4\u7b2c\u4e8c\u9898<\/p>\n

\u95ee\u9898\u5206\u6790<\/h3>\n

\u7531\u4e8e\u6700\u5927\u516c\u7ea6\u6570\u4e3a x0\uff0c\u6700\u5c0f\u516c\u500d\u6570\u4e3a y0\uff0c\u6240\u4ee5 x0 <= p,q <= y0\uff1b\u53e6\u5916\uff0c\u4e24\u4e2a\u6570\u7684\u4e58\u79ef\u7b49\u4e8e\u5b83\u4eec\u7684\u6700\u5927\u516c\u7ea6\u6570(gcd)\u4e0e\u6700\u5c0f\u516c\u500d\u6570(lcm)\u4e4b\u79ef\uff0c\u5373a * b = gcd(a, b) * lcm(a, b)<\/code>
\n\u6240\u4ee5\u53ea\u8981\u679a\u4e3ep\uff0c\u5728x0 * y0 % p == 0<\/code>\u7684\u60c5\u51b5\u4e0b\uff0c\u5224\u65ad gcd(x0 * y0 \/ p, p) == x0<\/code> \u5373\u53ef\u3002gcd()\u51fd\u6570\u4f7f\u7528\u8f97\u8f6c\u76f8\u9664\u6cd5\u3002<\/p>\n

AC\u4ee3\u7801<\/h3>\n
#include <bits\/stdc++.h>\nusing namespace std;\n\nint gcd(int a, int b)\n{\n    if (b == 0)\n        return a;\n    else\n        return gcd(b, a % b);\n}\n\nint main()\n{\n    int x0, y0, p, q, t, ans = 0;\n    cin >> x0 >> y0;\n    t = x0 * y0;\n    for (p = x0; p <= y0; p++)\n    {\n        q = t \/ p;\n        if (p * q == t)\n        {\n            if (gcd(p, q) == x0)\n                ans++;\n        }\n    }\n    cout << ans << endl;\n    return 0;\n}\n<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"
\u9898\u76ee \u8f93\u5165\u4e8c\u4e2a\u6b63\u6574\u6570x0,y0(2\u2264x0\u2264100000\uff0c2\u2264y0\u22641000000)\uff0c\u6c42\u51fa\u6ee1\u8db3\u4e0b\u5217\u6761\u4ef6\u7684P\u3001Q\u7684 […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[29,53],"class_list":["post-281","post","type-post","status-publish","format-standard","hentry","category-algo","tag-vijos","tag-53"],"_links":{"self":[{"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=\/wp\/v2\/posts\/281","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=281"}],"version-history":[{"count":0,"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=\/wp\/v2\/posts\/281\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=281"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=281"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=281"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}