Cod sursa(job #3313824)

Utilizator sahiwah637sah iwah sahiwah637 Data 6 octombrie 2025 22:45:31
Problema Principiul includerii si excluderii Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 3.33 kb
/**
 * author:  xdaruis
 * created: 04.10.2025 13:41:44
**/
// #pragma comment(linker, "/stack:200000000")
// #pragma comment(linker, "/stack:256000000")
#pragma GCC optimize("O3")
// #pragma GCC target ("avx2")
// #pragma GCC optimize("Ofast")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
// #pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;

using vi = vector<int>;
using ll = long long;
using ull = unsigned long long;
using lld = long double;
constexpr int md = 1e9 + 7;
constexpr int md1 = 998244353;
constexpr ll inf = 1e18;
const vector<pair<int, int>> dir8{{-1, 0}, {-1, 1}, {0, 1}, {1, 1}, {1 , 0}, {1, -1}, {0, -1}, {-1, -1}};
const vector<pair<int, int>> dir4{{-1, 0}, {0, 1}, {1 , 0}, {0, -1}};

#define all(x) (x).begin(), (x).end()
template <class T> istream &operator>>(istream &is, vector<T> &v) { for (auto &x : v) is >> x; return is; }
template <class T> ostream &operator<<(ostream &os, const vector<T> &v) { auto sep = ""; for (auto &x : v) os << exchange(sep, " ") << x; return os; }

#ifdef LOCAL
template<typename A, typename B> ostream& operator<<(ostream &os, const pair<A, B> &p) { return os << '(' << p.first << ", " << p.second << ')'; }
template<typename T_container, typename T = typename enable_if<!is_same<T_container, string>::value, typename T_container::value_type>::type> ostream& operator<<(ostream &os, const T_container &v) { os << '{'; string sep; for (const T &x : v) os << sep << x, sep = ", "; return os << '}'; }
void dbg_out() { cerr << '\n'; }
template<typename Head, typename... Tail> void dbg_out(Head H, Tail... T) { cerr << ' ' << H; dbg_out(T...); }
#define deb(...) cerr << #__VA_ARGS__ << "->", dbg_out(__VA_ARGS__);
#define START auto start_time = chrono::high_resolution_clock::now();
#define END cerr << "Execution Time: " << chrono::duration_cast<chrono::milliseconds>(chrono::high_resolution_clock::now() - start_time).count() << " ms\n";
#define ROAD_TO_RED cerr << "Solved: " << t << '\n';
#else
#define deb(...)
#define START
#define END
#define ROAD_TO_RED
#endif

// #define double lld
#define int ll
// #define vi vector<ll>



void solve() {
    int a, b;
    cin >> a >> b;

    vector<int> divs;
    int tmp = b;
    for (int i = 2; i * i <= tmp; ++i) {
        if (tmp % i == 0) {
            while (tmp % i == 0) {
                tmp /= i;
            }
            divs.push_back(i);
        }
    }
    if (tmp != 1) divs.push_back(tmp);
    int bad = 0;
    int k = (int)divs.size();
    int tot = 1 << k;
    for (int m = 1; m < tot; ++m) {
        int p = 1;
        bool ex = false;
        for (int i = 0; i < k; ++i) {
            if (m & (1 << i)) {
                if (p > a / divs[i]) {
                    ex = true;
                    break;
                }
                p *= divs[i];
            }
        }
        if (ex) continue;
        int c = a / p;
        if (__builtin_popcount(m) & 1) {
            bad += c;
        } else {
            bad -= c;
        }
    }
    cout << a - bad;
}

signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    freopen("pinex.in", "r", stdin);
    freopen("pinex.out", "w", stdout);

    int T = 1;
    cin >> T;
    deb(T);
    for (int t = 1; t <= T; ++t) {
        // cout << "Case #" << t << ": ";
        solve();
        cout << '\n';
        ROAD_TO_RED
    }
    return 0;
}