题目链接:http://www.lydsy.com/JudgeOnline/problem.php?id=2820
继续学习莫比乌斯....
代码:
#include<bits/stdc++.h> using namespace std; typedef long long ll; const int MAXN=10000000; bool check[MAXN+10]; int prime[MAXN+10]; int mu[MAXN+10],f[MAXN+10],sum[MAXN+10]; void Moblus() { memset(check,false,sizeof(check)); mu[1]=1; int tot=0; for(int i=2;i<=MAXN;i++) { if(!check[i]) { prime[tot++]=i; mu[i]=-1; } for(int j=0;j<tot;j++) { if(i*prime[j]>MAXN) break; check[i*prime[j]]=true; if(i%prime[j]==0) { mu[i*prime[j]]=0; break; } else { mu[i*prime[j]]=-mu[i]; } } } for(int i=0;i<tot;i++) { for(int j=prime[i];j<=MAXN;j+=prime[i]) { f[j]+=mu[j/prime[i]]; } } for(int i=1;i<=MAXN;i++) sum[i]=sum[i-1]+f[i]; } ll cal(ll n,ll m) { if(n>m) swap(n,m); ll ret=0; int last; for(int i=1;i<=n;i=last+1) { last=min(n/(n/i),m/(m/i)); ret+=(n/i)*(m/i)*(sum[last]-sum[i-1]); } return ret; } int main() { //freopen("in.txt","r",stdin); //freopen("out.txt","w",stdout); int T; Moblus(); scanf("%d",&T); while(T--) { int n,m; scanf("%d%d",&n,&m); printf("%lld\n",cal(n,m)); } return 0; }