/*
* Problem link
* 
*/

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

struct INIT{INIT(){cin.tie(0);ios_base::sync_with_stdio(false);} }init;

typedef long long LL;
const LL MOD = (LL)1e9 + 7;
int main() {
#ifdef INPUT_FROM_FILE
	ifstream cin("sample.in");
	ofstream cout("sample.out");
#endif
	map<int, vector<int>> m;
	int N,K;
	cin >> N >> K;
	vector<int> v(N);
	for (auto& it : v)cin >> it;
	for (auto& it : v) {
		for (int i = 2; i*i <= it; i++) {
			if (it%i == 0) {
				int cnt = 0;
				while (it%i == 0) { cnt++, it /= i; }
				//cout << i << " " << cnt << endl;
				m[i].push_back(cnt);
			}
		}
		if (it != 1)m[it].push_back(1);
	}
	LL res = 1;
	for (auto& u : m) {
		auto& p = u.second;
		sort(p.begin(),p.end());
		reverse(p.begin(), p.end());
		for (int i = 0; i < min((int)p.size(),K); i++)
			for (int j = 0; j < p[i]; j++)
				(res *= u.first) %= MOD;
	}

	cout << res << endl;
	return 0;
}