Cod sursa(job #2476816)

Utilizator iarinatudorTudor Iarina Maria iarinatudor Data 19 octombrie 2019 11:42:38
Problema Invers modular Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.81 kb
#include <iostream>
#include <fstream>

using namespace std;
long long n,rez,a,x=1,p;
ifstream fin("inversmodular.in");
ofstream fout("inversmodular.out");
long long putere()
{
   while(rez)
   {
       if(rez%2==1)
       {
           x=(x*a)%p;
           rez--;
       }
       else
       {
           rez/=2;
           a=(a*a)%p;
       }
   }
   return x%n;
}
void desc(int n)
{
    rez=n;
    if(n%2==0)
        rez=rez/2;
    while(n%2==0)
    {
        n/=2;
    }
    for(long long d=3; d*d<=n; d+=2)
    {
        if(n%d==0)
            rez=(rez/d)*(d-1);
        while(n%d==0)
        {
            n/=d;
        }
    }
    if(n!=1)
        rez=(rez/n)*(n-1);
}
int main()
{
    fin>>a>>n;
    p=n;
    desc(n);
    rez--;
    fout<<putere()%p;
    return 0;
}