{"id":285,"date":"2010-06-15T22:45:00","date_gmt":"2010-06-15T14:45:00","guid":{"rendered":"http:\/\/localhost\/?p=285"},"modified":"2010-06-15T22:45:00","modified_gmt":"2010-06-15T14:45:00","slug":"poi2007zap","status":"publish","type":"post","link":"https:\/\/www.shuizilong.com\/wjmzbmr\/?p=285","title":{"rendered":"[POI2007]Zap"},"content":{"rendered":"\n

[POI2007]Zap<\/p>\n

Time Limit:10000MS Memory Limit:165536K
Total Submit:176 Accepted:34
Case Time Limit:2000MS<\/p>\n

Description <\/strong><\/p>\n

FGD\u6b63\u5728\u7834\u89e3\u4e00\u6bb5\u5bc6\u7801\uff0c\u4ed6\u9700\u8981\u56de\u7b54\u5f88\u591a\u7c7b\u4f3c\u7684\u95ee\u9898\uff1a\u5bf9\u4e8e\u7ed9\u5b9a\u7684\u6574\u6570a,b\u548cd\uff0c\u6709\u591a\u5c11\u6b63\u6574\u6570\u5bf9x,y\uff0c\u6ee1\u8db3x<=a\uff0cy<=b\uff0c\u5e76\u4e14 gcd(x,y)=d\u3002
\u4f5c\u4e3aFGD\u7684\u540c\u5b66\uff0cFGD\u5e0c\u671b\u5f97\u5230\u4f60\u7684\u5e2e\u52a9\u3002 <\/p>\n

Input <\/strong><\/p>\n

\u7b2c\u4e00\u884c\u5305\u542b\u4e00\u4e2a\u6b63\u6574\u6570n\uff0c\u8868\u793a\u4e00\u5171\u6709n\u7ec4\u8be2\u95ee\u3002\uff081<=n<= 50000\uff09
\u63a5\u4e0b\u6765n\u884c\uff0c\u6bcf\u884c\u8868\u793a\u4e00\u4e2a\u8be2\u95ee\uff0c\u6bcf\u884c\u4e09\u4e2a\u6b63\u6574\u6570\uff0c\u5206\u522b\u4e3aa,b,d\u3002\uff081<=d<=a,b<=50000\uff09 <\/p>\n

Output <\/strong><\/p>\n

\u5bf9\u4e8e\u6bcf\u7ec4\u8be2\u95ee\uff0c\u8f93\u51fa\u5230\u8f93\u51fa\u6587\u4ef6zap.out\u4e00\u4e2a\u6b63\u6574\u6570\uff0c\u8868\u793a\u6ee1\u8db3\u6761\u4ef6\u7684\u6574\u6570\u5bf9\u6570\u3002 <\/p>\n

Sample Input <\/strong><\/p>\n<\/p>\n

Sample Output <\/strong><\/p>\n<\/p>\n

Hint <\/strong><\/p>\n

\u5bf9\u4e8e\u7b2c\u4e00\u7ec4\u8be2\u95ee\uff0c\u6ee1\u8db3\u6761\u4ef6\u7684\u6574\u6570\u5bf9\u6709(2,2)\uff0c\uff082,4\uff09\uff0c\uff084\uff0c2\uff09\u3002
\u5bf9\u4e8e\u7b2c\u4e8c\u7ec4\u8be2\u95ee\uff0c\u6ee1\u8db3\u6761\u4ef6\u7684\u6574\u6570\u5bf9\u6709\uff086,3\uff09\uff0c\uff083,3\uff09\u3002 <\/p>\n

Source
\u989d\u3002\u3002\u8fd9\u9898\u5341\u5206\u7684\u90a3\u4e2a\u5565\u3002\u3002\u3002\u3002Orz oimaster\u795e\u725b\uff01\uff01\uff01
\u9996\u5148\u5bf9\u4ed8\u8fd9\u79cd\u590d\u6742\u7684\u95ee\u9898\u53ea\u6709\u5bb9\u65a5\u539f\u7406\u4e86\u3002\u3002
\u53ea\u9700\u8981\u7b97\u51faG(x,y):1<=i<=a,1<=j<=b\u4e14(i,j)=1\u7684\u5c31\u53ef\u4ee5\u4e86\u3002\u3002
F(a,b,k)\u8868\u793a1<=i<=a,1<=j<=b\u4e14(i,j)>=k\u7684\u5bf9\u6570\uff0c\u5f88\u663e\u7136\u4e3aa\/k*b\/k\u3002\u3002
\u90a3\u4e48G(a,b)=1*F(a,b,1)-F(a,b,2)….\u6ce8\u610f\u5bf9\u6bcf\u4e2ak\u6765\u8bf4\uff0c\u65e0\u8bbaa\u548cb\uff0c\u7cfb\u6570\u662f\u56fa\u5b9a\u7684\u3002\u3002
\u540c\u65f6a\/k*b\/k\u6309\u76f8\u540c\u503c\u5206\u6bb5\u53ef\u4ee5\u5206\u6210Sqrt\u7ea7\u522b\u3002\u3002\u6240\u4ee5\u9884\u5904\u7406\u4e00\u4e0b\u7cfb\u6570\u7684\u90e8\u5206\u548c\u5c31OK\u4e86\u3002\u3002
\u4ee3\u7801\u957f\u5ea6\u6700\u77ed\u56e7\u3002\u3002\u3002
<\/strong><\/p>\n

#include <algorithm>#include <cstdio>#define rep(i,n) for(int i=0;i<n;i++)const int maxn=50000+10;using namespace std;int P[maxn]={};int get(int i){ int s=1; for(int x=2;x*x<=i;x++)if(i%x==0) { i\/=x;if(i%x==0)return 0; s*=-1; } if(i>1)s*=-1; return s;}int main(){ for(int i=1;i<=maxn;i++)P[i]=P[i-1]+get(i); int a,b,k,n;scanf("%d",&n); rep(i,n) { scanf("%d%d%d",&a,&b,&k);a\/=k;b\/=k; if(a>b)swap(a,b); int ans=0; for(int t=1;t<=a;t++) { int m=min(a\/(a\/t),b\/(b\/t))-t; ans+=(P[t+m]-P[t-1])*(a\/t)*(b\/t); t+=m; } printf("%dn",ans); }}3224 5 26 4 3 <\/p>\n","protected":false},"excerpt":{"rendered":"

[POI2007]Zap Time Limit:10000MS Memory Limit:165536KTotal Submit:176 Accepted:34 Case Time Limit:2000MS Description FGD\u6b63\u5728\u7834\u89e3\u4e00\u6bb5\u5bc6\u7801\uff0c\u4ed6\u9700\u8981\u56de\u7b54\u5f88\u591a\u7c7b\u4f3c\u7684\u95ee\u9898\uff1a\u5bf9\u4e8e\u7ed9\u5b9a\u7684\u6574\u6570a,b\u548cd\uff0c\u6709\u591a\u5c11\u6b63\u6574\u6570\u5bf9x,y\uff0c\u6ee1\u8db3x<=a\uff0cy<=b\uff0c\u5e76\u4e14 gcd(x,y)=d\u3002 \u4f5c\u4e3aFGD\u7684\u540c\u5b66\uff0cFGD\u5e0c\u671b\u5f97\u5230\u4f60\u7684\u5e2e\u52a9\u3002 Input \u7b2c\u4e00\u884c\u5305\u542b\u4e00\u4e2a\u6b63\u6574\u6570n\uff0c\u8868\u793a\u4e00\u5171\u6709n\u7ec4\u8be2\u95ee\u3002\uff081<=n<= 50000\uff09 \u63a5\u4e0b\u6765n\u884c\uff0c\u6bcf\u884c\u8868\u793a\u4e00\u4e2a\u8be2\u95ee\uff0c\u6bcf\u884c\u4e09\u4e2a\u6b63\u6574\u6570\uff0c\u5206\u522b\u4e3aa,b,d\u3002\uff081<=d<=a,b<=50000\uff09 Output \u5bf9\u4e8e\u6bcf\u7ec4\u8be2\u95ee\uff0c\u8f93\u51fa\u5230\u8f93\u51fa\u6587\u4ef6zap.out\u4e00\u4e2a\u6b63\u6574\u6570\uff0c\u8868\u793a\u6ee1\u8db3\u6761\u4ef6\u7684\u6574\u6570\u5bf9\u6570\u3002 Sample Input Sample Output Hint \u5bf9\u4e8e\u7b2c\u4e00\u7ec4\u8be2\u95ee\uff0c\u6ee1\u8db3\u6761\u4ef6\u7684\u6574\u6570\u5bf9\u6709(2,2)\uff0c\uff082,4\uff09\uff0c\uff084\uff0c2\uff09\u3002 \u5bf9\u4e8e\u7b2c\u4e8c\u7ec4\u8be2\u95ee\uff0c\u6ee1\u8db3\u6761\u4ef6\u7684\u6574\u6570\u5bf9\u6709\uff086,3\uff09\uff0c\uff083,3\uff09\u3002 Source \u989d\u3002\u3002\u8fd9\u9898\u5341\u5206\u7684\u90a3\u4e2a\u5565\u3002\u3002\u3002\u3002Orz oimaster\u795e\u725b\uff01\uff01\uff01\u9996\u5148\u5bf9\u4ed8\u8fd9\u79cd\u590d\u6742\u7684\u95ee\u9898\u53ea\u6709\u5bb9\u65a5\u539f\u7406\u4e86\u3002\u3002\u53ea\u9700\u8981\u7b97\u51faG(x,y):1<=i<=a,1<=j<=b\u4e14(i,j)=1\u7684\u5c31\u53ef\u4ee5\u4e86\u3002\u3002F(a,b,k)\u8868\u793a1<=i<=a,1<=j<=b\u4e14(i,j)>=k\u7684\u5bf9\u6570\uff0c\u5f88\u663e\u7136\u4e3aa\/k*b\/k\u3002\u3002\u90a3\u4e48G(a,b)=1*F(a,b,1)-F(a,b,2)….\u6ce8\u610f\u5bf9\u6bcf\u4e2ak\u6765\u8bf4\uff0c\u65e0\u8bbaa\u548cb\uff0c\u7cfb\u6570\u662f\u56fa\u5b9a\u7684\u3002\u3002\u540c\u65f6a\/k*b\/k\u6309\u76f8\u540c\u503c\u5206\u6bb5\u53ef\u4ee5\u5206\u6210Sqrt\u7ea7\u522b\u3002\u3002\u6240\u4ee5\u9884\u5904\u7406\u4e00\u4e0b\u7cfb\u6570\u7684\u90e8\u5206\u548c\u5c31OK\u4e86\u3002\u3002\u4ee3\u7801\u957f\u5ea6\u6700\u77ed\u56e7\u3002\u3002\u3002 #include <algorithm>#include <cstdio>#define rep(i,n) for(int i=0;i<n;i++)const int maxn=50000+10;using namespace std;int P[maxn]={};int get(int i){ int s=1; for(int x=2;x*x<=i;x++)if(i%x==0) { i\/=x;if(i%x==0)return 0; s*=-1; } if(i>1)s*=-1; return s;}int […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[10],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/posts\/285"}],"collection":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=285"}],"version-history":[{"count":0,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/posts\/285\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=285"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=285"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=285"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}