uva 1434 - YAPTCHA(数论)

题目链接：uva 1434 - YAPTCHA

题目大意：给定n和k，求题目中给定的式子S(n)。

解题思路：威尔逊定理，x为素数时有，((x−1)!+1)%x==0，所以对于本题，如果3*k+7为素数的话，[(3k+6)!+1(3k+7−[(3k+6)!3k+7]]=1

#include <cstdio>
#include <cstring>
#include <cmath>
#include <algorithm>

using namespace std;
const int maxn = 1e6;

int ans[maxn+5], vis[maxn*4+5];

void primeTable (int n) {
memset(vis, 0, sizeof(vis));

for (int i = 2; i <= n; i++) {
if (vis[i])
continue;

for (int j = 2 * i; j <= n; j += i)
vis[j] = 1;
}
}

int main () {
primeTable(maxn*4);
ans[1] = 0;
for (int i = 2; i <= maxn; i++)
ans[i] = ans[i-1] + (vis[3*i+7] ? 0 : 1);
int cas, n;
scanf("%d", &cas);
while (cas--) {
scanf("%d", &n);
printf("%d\n", ans
);
}
return 0;
}