Cod sursa(job #2878712)

Utilizator Uriesu_IuliusUriesu Iulius Uriesu_Iulius Data 27 martie 2022 14:45:21
Problema Principiul includerii si excluderii Scor 60
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.34 kb
#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define ipair pair<int, int>

ifstream fin("pinex.in");
ofstream fout("pinex.out");

ll a, b, ans;
bool use[100];
vector<ll> primes;

vector<ll> primeFactors(ll x)
{
    vector<ll> ans;
    int p=0;
    while(x%2==0)
    {
        p++;
        x/=2;
    }
    if(p)
        ans.push_back(2);
    ll d=3;
    while(x>1)
    {
        p=0;
        while(x%d==0)
        {
            p++;
            x/=d;
        }
        if(p)
            ans.push_back(d);
        d+=2;
        if(d*d>x)
            d=x;
    }
    return ans;
}

void solution()
{
    int cnt=0;
    ll p=1;
    for(int i=0; i<primes.size(); i++)
        if(use[i])
        {
            cnt++;
            p*=primes[i];
        }
    if(cnt==0)
        return;
    if(cnt%2==1)
        ans+=a/p;
    else
        ans-=a/p;
}

void backtracking(int step)
{
    for(int i=0; i<=1; i++)
    {
        use[step]=i;
        if(step==primes.size()-1)
            solution();
        else
            backtracking(step+1);
    }
}

void solve()
{
    fin >> a >> b;
    primes=primeFactors(b);
    ans=0;
    backtracking(0);
    fout << a-ans << "\n";
}

int main()
{
    int t;
    fin >> t;
    for(int i=0; i<t; i++)
        solve();
    return 0;
}