Cod sursa(job #1414349)

Utilizator loturiLoturi super ruperi loturi Data 2 aprilie 2015 15:46:40
Problema Principiul includerii si excluderii Scor 70
Compilator cpp Status done
Runda Arhiva educationala Marime 1.12 kb
#include <cstdio>

using namespace std;

long long fact[100];
int nrfact=0;

inline void Descomp(long long x)
{
    int k=0;
    nrfact=0;
    while(x%2==0)
    {
        x/=2; ++k;
    }
    if(k) fact[++nrfact]=2;
    long long d=3;
    while(d*d<=x && x>1)
    {
        k=0;
        while(x%d==0)
        {
            x/=d; ++k;
        }
        if(k) fact[++nrfact]=d;
        d+=2;
    }
    if(x>1) fact[++nrfact]=x;
}

inline int Cnt(int x)
{
    int sol=0;
    for(;x;x=(x&(x-1)),++sol);
    return sol;
}

int main()
{
    long long A,B,sol;
    int i,stare,nr,Q;
    freopen ("pinex.in","r",stdin);
    freopen ("pinex.out","w",stdout);
    scanf("%d", &Q);
    while(Q--)
    {
        scanf("%lld%lld", &A,&B);
        Descomp(B); sol=0;
        for(stare=1;stare<(1<<nrfact);++stare)
        {
            nr=Cnt(stare);
            long long prod=1;
            for(i=0;i<nrfact;++i)
                if((stare&(1<<i))) prod*=fact[i+1];
            if(nr&1) sol+=A/prod;
            else sol-=A/prod;
        }
        printf("%lld\n", A-sol);
    }
    return 0;
}