POJ 1995 Raising Modulo Numbers (快速幂)

时间:2022-09-01 12:36:53

题意:POJ 1995 Raising Modulo Numbers (快速幂)

思路:

对于每个幂次方,将幂指数的二进制形式表示,从右到左移位,每次底数自乘,循环内每步取模。

#include <cstdio>

typedef long long LL;

LL Ksm(LL a, LL b, LL p) {
LL ans = 1;
while(b) {
if(b & 1) {
ans = (ans * a) % p;
}
a = (a * a) % p;
b >>= 1;
}
return ans;
} int main() {
LL p, a, b;
int T;
int n;
scanf("%d", &T);
while(T--) {
scanf("%lld%d", &p, &n);
LL ans = 0;
while(n--) {
scanf("%lld%lld", &a, &b);
ans = (ans + Ksm(a, b, p)) % p;
}
printf("%lld\n", ans);
}
return 0;
}