Cod sursa(job #2787793)
| Utilizator | Data | 24 octombrie 2021 00:45:39 | |
|---|---|---|---|
| Problema | Invers modular | Scor | 100 |
| Compilator | cpp-64 | Status | done |
| Runda | Arhiva educationala | Marime | 0.58 kb |
#include <bits/stdc++.h>
typedef long long ll;
using namespace std;
ifstream fin("inversmodular.in");
ofstream fout("inversmodular.out");
/// A>=1 si N>=2 doua numere naturale
/// 1<=A<=N-1 cu (A,N)=1 prime intre ele
/// 1<=X<=N-1 inversul modular => A*X congruent cu 1 modulo N
ll A, N, x, y;
void euclid(ll a, ll b)
{
if(b==0){
x=1;
y=1;
return;
}
euclid(b,a%b);
x=x-a/b*y;
swap(x,y);
}
int main()
{
fin>>A>>N;
euclid(A,N);
fout<<(x+N)%N;
fin.close();
fout.close();
return 0;
}
