AcWing 90. 64位整数乘法
求 a 乘 b 对 p 取模的值。
输入格式
第一行输入整数a
,第二行输入整数b,第三行输入整数p
。
输出格式
输出一个整数,表示a*b mod p的值。
数据范围
1≤a,b,p≤1018
输入样例:
3
4
5
输出样例:
2
模板
int fp(int a, int b) {
int ret = 0;
while(b) {
if(b & 1) ret = ( a + ret ) % mod;
b >>= 1;
a = (a<<1) % mod;
}
return ret;
}
完整代码
#define debug
#ifdef debug
#include <time.h>
#include "/home/majiao/mb.h"
#endif
#include <iostream>
#include <algorithm>
#include <vector>
#include <string.h>
#include <map>
#include <set>
#include <stack>
#include <queue>
#include <math.h>
#define MAXN ((int)1e5+7)
#define ll long long int
#define INF (0x7f7f7f7f)
#define fori(lef, rig) for(int i=lef; i<=rig; i++)
#define forj(lef, rig) for(int j=lef; j<=rig; j++)
#define fork(lef, rig) for(int k=lef; k<=rig; k++)
#define QAQ (0)
using namespace std;
#define show(x...) \ do { \ cout << "\033[31;1m " << #x << " -> "; \ err(x); \ } while (0)
void err() { cout << "\033[39;0m" << endl; }
template<typename T, typename... A>
void err(T a, A... x) { cout << a << ' '; err(x...); }
namespace FastIO{
char print_f[105];
void read() {}
void print() { putchar('\n'); }
template <typename T, typename... T2>
inline void read(T &x, T2 &... oth) {
x = 0;
char ch = getchar();
ll f = 1;
while (!isdigit(ch)) {
if (ch == '-') f *= -1;
ch = getchar();
}
while (isdigit(ch)) {
x = x * 10 + ch - 48;
ch = getchar();
}
x *= f;
read(oth...);
}
template <typename T, typename... T2>
inline void print(T x, T2... oth) {
ll p3=-1;
if(x<0) putchar('-'), x=-x;
do{
print_f[++p3] = x%10 + 48;
} while(x/=10);
while(p3>=0) putchar(print_f[p3--]);
putchar(' ');
print(oth...);
}
} // namespace FastIO
using FastIO::print;
using FastIO::read;
#define int unsigned long long
int n, m, Q, K, mod;
int fp(int a, int b) {
int ret = 0;
while(b) {
if(b & 1) ret = ( a + ret ) % mod;
b >>= 1;
a = (a<<1) % mod;
}
return ret;
}
signed main() {
#ifdef debug
freopen("test", "r", stdin);
clock_t stime = clock();
#endif
scanf("%llu %llu %llu ", &n, &m, &mod);
int ans = fp(n, m);
printf("%llu\n", ans);
#ifdef debug
clock_t etime = clock();
printf("rum time: %lf 秒\n",(double) (etime-stime)/CLOCKS_PER_SEC);
#endif
return 0;
}