BZOJ 2301 莫比乌斯函数+分块

思路：

同BZOJ1101 就是加个容斥 …

http://blog.csdn.net/qq_31785871/article/details/54340241

//By SiriusRen
#include <cstdio>
#include <algorithm>
using namespace std;
#define N 50001
int prime[N],mu[N],vis[N],sum[N],tot;
int a,b,c,d,k,n,ans,pos;
int solve(int x,int y){
    int temp=min(x,y),jy=0;
    for(int i=1;i<=temp;i=pos+1){
        pos=min(x/(x/i),y/(y/i));
        jy+=(sum[pos]-sum[i-1])*(x/i)*(y/i);
    }return jy;
}
int main(){
    sum[1]=1;
    for(int i=2;i<N;i++){
        if(!vis[i])prime[++tot]=i,mu[i]=-1;
        for(int j=1;j<=tot&&i*prime[j]<N;j++){
            vis[i*prime[j]]=1,mu[i*prime[j]]=-mu[i];
            if(i%prime[j]==0){mu[i*prime[j]]=0;break;}
        }
        sum[i]=sum[i-1]+mu[i];
    }
    scanf("%d",&n);
    while(n--){
        scanf("%d%d%d%d%d",&a,&b,&c,&d,&k);
        printf("%d\n",solve(b/k,d/k)-solve((a-1)/k,d/k)-solve(b/k,(c-1)/k)+solve((a-1)/k,(c-1)/k));
    }
}