P1447 [NOI2010] 能量采集 的代码
#include<bits/stdc++.h>
using namespace std;
const int maxn=1e5;
#define int long long
int n,m;
int N,ans;
bool vis[maxn+5];
int pr[maxn+5],prt;
int phi[maxn+5];
int sm[maxn+5];
inline void Init(){
phi[1]=1;
for(int i=2;i<=N;i++){
if(!vis[i]){
pr[++prt]=i;
phi[i]=i-1;
}
for(int j=1;j<=prt&&i*pr[j]<=N;j++){
vis[i*pr[j]]=1;
if(i%pr[j]==0){
phi[i*pr[j]]=phi[i]*pr[j];
break;
}
else phi[i*pr[j]]=phi[i]*phi[pr[j]];
}
}
for(int i=1;i<=N;i++) sm[i]=sm[i-1]+phi[i];
}
signed main(){
scanf("%lld%lld",&n,&m);
N=min(n,m);
Init();
for(int i=1,j;i<=N;i=j+1){
j=min(n/(n/i),m/(m/i));
ans+=(n/i)*(m/i)*(sm[j]-sm[i-1]);
}
printf("%lld",2*ans-n*m);
return 0;
}