main
黄海 2 years ago
parent 7bbe6ec411
commit 2cf121fac0

@ -1,21 +1,30 @@
#include <bits/stdc++.h> #include <bits/stdc++.h>
using namespace std; using namespace std;
#define LL long long #define int long long
const int N = 100 + 100; #define endl "\n"
const int N = 110;
/*
10
36
1000000000000000000
4
9
1001003332
*/
// 筛法求莫比乌斯函数 // 筛法求莫比乌斯函数
LL mu[N], sum[N]; int mu[N], sum[N];
int primes[N], cnt; int primes[N], cnt;
bool st[N]; bool st[N];
void get_mobius(LL n) { void get_mobius(int n) {
mu[1] = 1; mu[1] = 1;
for (LL i = 2; i <= n; i++) { for (int i = 2; i <= n; i++) {
if (!st[i]) { if (!st[i]) {
primes[cnt++] = i; primes[cnt++] = i;
mu[i] = -1; mu[i] = -1;
} }
for (LL j = 0; primes[j] <= n / i; j++) { for (int j = 0; primes[j] <= n / i; j++) {
LL t = primes[j] * i; int t = primes[j] * i;
st[t] = true; st[t] = true;
if (i % primes[j] == 0) { if (i % primes[j] == 0) {
mu[t] = 0; mu[t] = 0;
@ -26,18 +35,18 @@ void get_mobius(LL n) {
} }
// 维护u(x)前缀和 // 维护u(x)前缀和
// 这玩意有啥用? // 这玩意有啥用?
for (LL i = 1; i <= n; i++) sum[i] = sum[i - 1] + mu[i]; for (int i = 1; i <= n; i++) sum[i] = sum[i - 1] + mu[i];
} }
int main() { signed main() {
// 筛法求莫比乌斯函数 // 筛法求莫比乌斯函数
get_mobius(N - 1); get_mobius(N - 1);
LL T; int T;
while (cin >> T) { while (cin >> T) {
LL s = 1; int s = 1;
for (LL i = 2; i <= 64; i++) s -= mu[i] * (LL)(pow(T * 1.0, 1.0 / i) - 1);
for (int i = 2; i <= 64; i++) s -= mu[i] * (int)(pow(T * 1.0, 1.0 / i) - 1);
cout << s << endl; cout << s << endl;
} }
return 0;
} }
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