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S2OJ/1508/1508.cpp
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57
S2OJ/1508/1508.cpp
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#include <iostream>
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#include <algorithm>
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#include <cmath>
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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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long long k, _k, cnt, p[N], c[N], ans = 1;
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bool flag;
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long long binpow(long long a, long long b) {
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long long res = 1;
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while (b) {
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if (b & 1) res *= a;
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a *= a;
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b >>= 1;
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}
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return res;
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}
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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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cin >> k;
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_k = k;
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for (long long i = 2; i * i <= k; i++) {
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if (k % i == 0) {
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p[++cnt] = i;
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while (k % i == 0) {
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k /= i;
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c[cnt]++;
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}
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}
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}
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if (k) {
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p[++cnt] = k;
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c[cnt] = 1;
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}
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for (int i = 1; i <= cnt; i++) {
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ans *= binpow(p[i], static_cast<long long>(std::ceil(static_cast<long double>(c[i]) / 2)));
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}
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cout << (ans % _k ? ans : -1) << endl;
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return 0;
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}
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