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ACM 算法模板

数论

素数

素数个数

素数定理:pi(x) = x/ln(x) pi(x)表示小于x的素数的个数

// 基础筛法
// 素数个数度:

const int N = 1000000;
const int M = 300000;
bool is[N];
int prm[M];
int getprm() {
  int e = (int)(sqrt(0.0 + N) + 1), k = 0, i;
  memset(is, 1, sizeof(is));
  prm[k++] = 2;
  is[0] = is[1] = 0;
  for (i = 4; i < N; i += 2) is[i] = 0;
  for (i = 3; i < e; i += 2) {
    if (is[i]) {
      prm[k++] = i;
      for (int s = i + i, j = i * i; j < N; j += s) is[j] = 0;
    }
  }
  for (; i < N; i += 2)
    if (is[i]) prm[k++] = i;
  return k;
}

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