Cod sursa(job #1502957)

Utilizator stelian2000Stelian Chichirim stelian2000 Data 15 octombrie 2015 12:15:32
Problema Invers modular Scor 50
Compilator cpp Status done
Runda Arhiva educationala Marime 0.69 kb
#include <cstdio>
#include <cmath>
using namespace std;

int a,n;

int ridic_putere(int a,int f)
{
    int b=a;
    int rez=1;
    for(int i=1;i<=f;i<<=1)
    {
        if(f & i) rez=(1LL*rez*b)%n;
        b=(1LL*b*b)%n;
    }
    return rez;
}

int v[50000];
int vaz[50000];

int main()
{
    freopen("inversmodular.in","r",stdin);
    freopen("inversmodular.out","w",stdout);
    int c,j,f,l=0,s;
    scanf("%d%d",&a,&n);
    c=sqrt(n);
    f=n;
    s=n;
    for(int i=2;i<=c;i++)
        if(n%i==0)
        {
            while(s%i==0) s=s/i;
            f=1LL*f*(i-1)/i;
        }
    if(s>1) f=1LL*f*(s-1)/s;
    printf("%d",ridic_putere(a,f-1));
    return 0;
}