#include <bits/stdc++.h>
using namespace std;

template <typename T>
vector<T> make_divisor(T n) {
    vector<T> lower, upper;
    T i = 1;

    while (i * i <= n) {
        if (n % i == 0) {
            lower.push_back(i);
            if (T j = n / i; i != j) upper.push_back(j);
        }
        ++i;
    }
    std::reverse(std::begin(upper), std::end(upper));
    std::copy(std::begin(upper), std::end(upper), std::back_inserter(lower));

    return lower;
}

int main() {
    int n;
    cin >> n;
    vector<int> a(n);
    for (auto&& ai : a) cin >> ai;
    map<int, int> cnt;
    for (auto&& ai : a) {
        for (auto&& div : make_divisor(ai)) {
            cnt[div]++;
        }
    }

    vector<int> ans(n + 1, -1);
    for (auto& [k, v] : cnt) {
        ans[n - v] = k;
    }

    for (int i = 0; i < n - 1; ++i) {
        if (ans[i + 1] < ans[i]) ans[i + 1] = ans[i];
    }

    for (int i = 0; i < n; ++i) cout << ans[i] << '\n';
}