#include <cstdint>
#include <numeric>
#include <algorithm>
#include <iterator>
#include <iostream>
#include <valarray>
#include <ranges>

using i64 = std::int64_t;

std::valarray<i64> solve() {
    int n; std::cin >> n;

    std::valarray<i64> a(n); for(i64& x : a) std::cin >> x;

    std::valarray<i64> diff(n), prefix_gcd(n), ans(n);
    std::adjacent_difference(std::begin(a), std::end(a), std::begin(diff));
    std::inclusive_scan(std::next(std::begin(diff)), std::end(diff), std::next(std::begin(prefix_gcd)), std::gcd<i64,i64>);
    std::transform(std::begin(prefix_gcd), std::end(prefix_gcd), std::begin(ans), [&](const i64 v) { return std::abs(v); });

    return ans;
}

int main() {
    for(i64 x : solve()) std::cout << x << "\n";
    return 0;
}

__attribute__((constructor)) inline void fast_io() { std::ios::sync_with_stdio(false), std::cin.tie(nullptr); }