逆元求組合數
阿新 • • 發佈:2018-08-01
print while code pri n! long -m () mod
long long pow_mod(long long x, long long n, long long mod) { long long res = 1; while (n) { if (n & 1) res = res * x % mod; x = x * x % mod; n >>= 1; } return res; } long long fac[Max]; long long n, m, p; int main() { while (~scanf("%lld %lld", &n, &m)) { p=1e9+7; fac[0] = 1; for (int i = 1; i <= n; i++) {fac[i] = fac[i - 1] * i % p;} //組合數 = n!*(m!%p的逆元)*((n-m)!%p的逆元)%p printf("%lld\n", fac[n] * pow_mod(fac[m], p - 2, p) % p * pow_mod(fac[n - m], p - 2, p) % p); } }
逆元求組合數