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69 lines
1.3 KiB
C++
69 lines
1.3 KiB
C++
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#include <iostream>
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#include <cmath>
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#include <unordered_map>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 1e6 + 5;
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int t, p, primes[N];
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bool not_prime[N];
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std::unordered_map<long long, int> map;
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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for (int i = 2; i < N; i++) {
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if (!not_prime[i]) primes[++p] = i;
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for (int j = 1; j <= p && primes[j] * i < N; j++) {
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not_prime[primes[j] * i] = true;
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if (i % primes[j] == 0) break;
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}
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}
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for (int i = 1; i <= p; i++) {
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long long x = primes[i];
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map[x * x * x] = primes[i];
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}
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cin >> t;
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while (t--) {
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long long n, ans = 1;
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cin >> n;
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int m = std::sqrt(std::sqrt(n));
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if (map.count(n)) {
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cout << map[n] << endl;
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continue;
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}
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for (int i = 1, x = primes[i]; i <= p && x <= m && static_cast<long long>(x) * x * x <= n; x = primes[++i]) {
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long long y = static_cast<long long>(x) * x * x;
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while (n % y == 0) {
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ans *= x;
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n /= y;
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}
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while (n % x == 0) {
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n /= x;
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}
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}
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if (map.count(n)) ans *= map[n];
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cout << ans << endl;
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}
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return 0;
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}
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