/* Problem URL: https://codeforces.com/contest/2205/problem/B */ #include #include #include using namespace std; using namespace __gnu_pbds; template > using ordered_set = tree; #define V vector #define rmin(a, b) a = min(a, b) #define rmax(a, b) a = max(a, b) #define rep(i, lim) for (int i = 0; i < (lim); i++) #define nrep(i, s, lim) for (int i = s; i < (lim); i++) #define repv(i, v) for (auto &i : (v)) #define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } #define sortv(v) sort(v.begin(), v.end()) #define all(v) (v).begin(), (v).end() using vi = vector; using vvi = vector; using vvvi = vector; using vvvvi = vector; using ll = long long; using vl = vector; using vvl = vector; using vvvl = vector; using vvvvl = vector; template auto operator<<(ostream &os, const vector &vec)->ostream& { os << vec[0]; for (size_t i = 1; i < vec.size(); i++) { os << ' ' << vec[i]; } os << '\n'; return os; } template auto operator>>(istream &is, vector &vec)->istream& { for (auto &i : vec) { is >> i; } return is; } template auto operator<<(ostream &os, const vector> &vec)->ostream& { for (auto &i : vec) { os << i[0]; for (size_t j = 1; j < i.size(); j++) { os << ' ' << i[j]; } os << '\n'; } return os; } template auto operator>>(istream &is, vector> &vec)->istream& { for (auto &i : vec) { for (auto &j : i) { is >> j; } } return is; } const int oo = INT32_MAX >> 1; const ll OO = INT64_MAX >> 1; constexpr int MAXN = 1e5; bool prime[MAXN]; vl primes; void pre() { fill(prime, prime + MAXN, true); prime[1] = false; nrep(i, 2, MAXN) { if (!prime[i]) { continue; } primes.push_back(i); for (int j = i * 2; j < MAXN; j += i) { prime[j] = false; } } } #define TEST 1 void solve() { ll n; cin >> n; vl ans; for (int i = 0; primes[i] * primes[i] <= n; i++) { while (n % primes[i] == 0) { n /= primes[i]; ans.push_back(primes[i]); } } ans.push_back(n); ans.erase(unique(all(ans)), ans.end()); ll act = 1; repv(i, ans) { act *= i; } cout << act << '\n'; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); pre(); int t; (TEST && cin >> t) || (t = 1); while (t--) { solve(); } }