163 lines
3.4 KiB
C++
163 lines
3.4 KiB
C++
/* Problem URL: https://codeforces.com/contest/920/problem/G */
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#include <bits/stdc++.h>
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#include <ext/pb_ds/assoc_container.hpp>
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#include <ext/pb_ds/tree_policy.hpp>
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using namespace std;
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using namespace __gnu_pbds;
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template <class T, class comp = less<>>
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using ordered_set = tree<T, null_type , comp , rb_tree_tag , tree_order_statistics_node_update>;
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#define V vector
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#define rmin(a, b) a = min(a, b)
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#define rmax(a, b) a = max(a, b)
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#define rep(i, lim) for (int i = 0; i < (lim); i++)
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#define nrep(i, s, lim) for (int i = s; i < (lim); i++)
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#define repv(i, v) for (auto &i : (v))
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#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
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#define sortv(v) sort(v.begin(), v.end())
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#define all(v) (v).begin(), (v).end()
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using vi = vector<int>;
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using vvi = vector<vi>;
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using vvvi = vector<vvi>;
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using vvvvi = vector<vvvi>;
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using ll = long long;
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using vl = vector<ll>;
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using vvl = vector<vl>;
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using vvvl = vector<vvl>;
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using vvvvl = vector<vvvl>;
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template<class v>
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auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
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os << vec[0];
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for (size_t i = 1; i < vec.size(); i++) {
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os << ' ' << vec[i];
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}
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os << '\n';
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return os;
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}
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template<class v>
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auto operator>>(istream &is, vector<v> &vec)->istream& {
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for (auto &i : vec) {
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is >> i;
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}
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return is;
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}
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template<class v>
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auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
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for (auto &i : vec) {
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os << i[0];
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for (size_t j = 1; j < i.size(); j++) {
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os << ' ' << i[j];
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}
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os << '\n';
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}
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return os;
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}
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template<class v>
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auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
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for (auto &i : vec) {
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for (auto &j : i) {
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is >> j;
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}
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}
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return is;
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}
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int main()
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{
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ios::sync_with_stdio(false);
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cin.tie(nullptr);
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vi div(1e6 + 1, 1);
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nrep(i, 2, 1e6 + 1) {
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if (div[i] > 1) {
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continue;
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}
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for (int j = i; j <= 1e6; j += i) {
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div[j] = i;
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}
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}
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int t;
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cin >> t;
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while (t--) {
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int x, p, k;
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cin >> x >> p >> k;
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vi primes;
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auto getprimes = [&]() {
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int tmp = p;
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while (tmp > 1) {
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primes.push_back(div[tmp]);
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int prime = div[tmp];
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while (tmp % prime == 0) {
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tmp /= prime;
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}
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}
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};
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getprimes();
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auto getmuls = [&](ll now) {
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ll ans = 0;
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nrep(i, 1, 1 << primes.size()) {
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ll tmp = 1;
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rep(j, primes.size()) {
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if ((i >> j) & 1) {
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tmp *= primes[j];
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}
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}
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if (__builtin_popcount(i) & 1) {
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ans += now / tmp;
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} else {
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ans -= now / tmp;
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}
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}
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return ans;
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};
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ll inv = getmuls(x);
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ll low = x + 1;
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ll high = 1e18;
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ll ans = 0;
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while (low <= high) {
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ll mid = ((high - low) >> 1) + low;
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ll act = getmuls(mid) - inv;
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if (mid - x - act >= k) {
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ans = mid;
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high = mid - 1;
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continue;
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}
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low = mid + 1;
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}
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while (__gcd(ans, (ll)p) != 1) {
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ans++;
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}
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cout << ans << '\n';
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}
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}
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