1.​​题目链接​​。求一个奇素数原根的数量。结论题,如果一个数存在原根,那么数量是phi(phi(n))个。奇素数一定是存在原根的。

#include<iostream>
#include<stdio.h>
#include<cstdio>
#include<cstring>
using namespace std;
const int N = 75536;
int vis[N], prime[N];
int tot = 0;
int phi[N];
#pragma warning(disable:4996)
void getphi()
{
int i, j;
phi[1] = 1;
for (i = 2; i <= N; i++)
{
if (!vis[i])
{
prime[++tot] = i;
phi[i] = i - 1;
}
for (j = 1; j <= tot; j++)
{
if (i*prime[j] > N) break;
vis[i*prime[j]] = 1;
if (i%prime[j] == 0)
{
phi[i*prime[j]] = phi[i] * prime[j]; break;
}
else phi[i*prime[j]] = phi[i] * (prime[j] - 1);
}
}
}
int main()
{

int n;
getphi();
while (~scanf("%d", &n))
{
printf("%d\n", phi[phi[n]]);
}
return 0;
}