UVA 11582 Colossal Fibonacci Numbers! 找循环节
注意n=1的情况
#include <cstdio>
#include <cstring>
#include <cmath>
#include <algorithm>
#include <climits>
#include <string>
#include <iostream>
#include <map>
#include <cstdlib>
#include <list>
#include <set>
#include <queue>
#include <stack>
using namespace std;
typedef unsigned long long LL;
LL n,a,b,r;
LL mypow(LL a,LL b) {
if(b == 0) return 1;
a %= r;
if(b & 1) return mypow(a * a % r,b / 2) % r * a % r;
else return mypow(a * a % r,b / 2) % r;
}
void solve() {
LL now = 1,prev = 0,round = 1;
while(1) {
LL tmp = now; now = now + prev; prev = tmp;
now %= n; prev %= n;
if(round != 1 && now == 1 % n && prev == 0) break;
round++;
}
r = round;
LL t = mypow(a,b);
if(t == 0) cout << 0 << endl;
else if(t == 1) cout << 1 % n << endl;
else {
prev = 1; now = 0;
for(int i = 1;i <= t;i++) {
LL tmp = now; now += prev; now %= n; prev = tmp;
}
cout << now % n << endl;
}
}
int main() {
int T; cin >> T;
while(T--) {
cin >> a >> b >> n;
solve();
}
return 0;
}

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