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

#define rep(i,n) for (int i=0;i<(n);i++)
#define rep2(i,a,b) for (int i=(a);i<(b);i++)
#define rrep(i,n) for (int i=(n)-1;i>=0;i--)
#define rrep2(i,a,b) for (int i=(b)-1;i>=(a);i--)
#define all(a) (a).begin(),(a).end()

typedef long long ll;
typedef pair<int, int> P;

const ll mod = 1e9 + 7;

map<ll, ll> primeFactorize(ll n) {
    map<ll, ll> res;
    for (ll i = 2; i * i <= n; ++i) {
        while (n % i == 0) {
            ++res[i];
            n /= i;
        }
    }
    if (n > 1) ++res[n];
    return res;
}

signed main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(0);

    ll N, K;
    cin >> N >> K;
    vector<ll> a(N);
    rep(i, N) cin >> a[i];

    // 各素因数について、指数を大きい順に記録
    map<ll, priority_queue<ll> > exponents;
    rep(i, N) {
        auto res = primeFactorize(a[i]);

        for (auto p : res) {
            exponents[p.first].push(p.second);
        }
    }

    ll ans = 1;
    for (auto p : exponents) {
        auto x = p.first;
        auto que = p.second;
		ll num = 0;
		rep(i, K) {
			if (que.empty()) break;
			num += que.top(); que.pop();
		}
		// 累乗を愚直に計算
		rep(i, num) {
			ans *= x;
			ans %= mod;
		}
    }

    cout << ans << endl;

}