#include<iostream>
#include<cstdio>
#include<cmath>
#include<algorithm>
#include<cstring>
#include<sstream>
#include<queue>
#include<map>
#include<vector>
#include<set>
#include<deque>
#include<cstdlib>
#include<ctime>
#define dd double
#define ld long double
#define ll long long
#define int long long
#define ull unsigned long long
#define N 20000000
#define M number
using namespace std;
const int INF=0x3f3f3f3f;
inline ll read(){
ll x=0,f=1;
char ch=getchar();
while(ch<‘0‘||ch>‘9‘){if(ch==‘-‘)f=-1;ch=getchar();}
while(ch>=‘0‘&&ch<=‘9‘){x=x*10+ch-‘0‘;ch=getchar();}
return x*f;
}
int phi[N],prime[N],tail;
bool vis[N];
int n,ans=1;
inline void prework(){
phi[1]=1;
for(int i=2;i<=n;i++){
if(!vis[i]) prime[++tail]=i,phi[prime[tail]]=i-1,ans+=i-1;
for(int j=1;j<=tail&&i*prime[j]<=n;j++){
vis[i*prime[j]]=1;
if(i%prime[j]==0){
phi[i*prime[j]]=phi[i]*prime[j];
ans+=phi[i*prime[j]];
break;
}
else phi[i*prime[j]]=phi[i]*phi[prime[j]],ans+=phi[i*prime[j]];
}
}
}
signed main(){
n=read();
prework();
printf("%lld",ans);
return 0;
}
原文:https://www.cnblogs.com/TianMeng-hyl/p/14643111.html