codeforces 984 C. Finite or not?

 1 #include<bits/stdc++.h>
 2 
 3 using namespace std;
 4 
 5 
 6 long long p,q,b;
 7 int main(){
 8     ios_base::sync_with_stdio(false);
 9     cin.tie(0);
10     int n;
11     cin>>n;
12     for(int i=1;i<=n;i++){
13         cin>>p>>q>>b;
14         if(p>q){
15             p%=q;
16         }
17         long long s=__gcd(p,q);
18         p/=s;
19         q/=s;
20         if(p==0){
21             cout<<"Finite"<<endl;
22         }
23         else {
24             long long sp=__gcd(q,b);
25             int sb=0;
26             while(q>=sp){
27                 q/=sp;
28                 sp=__gcd(sp,q);
29                 if(sp==1&&q==1){
30                     break;
31                 }
32                 if(sp==1){
33                     sb=1;
34                     break;
35                 }
36             }
37             if(sb==0){
38                 cout<<"Finite"<<endl;
39             }
40             else {
41                 cout<<"Infinite"<<endl;
42             }
43         }
44     }
45 return 0;
46 }