import java.util.*;

public class Main {
    static final int MOD = 1000000007;
	public static void main (String[] args) {
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
		int k = sc.nextInt();
		HashMap<Integer, ArrayList<Integer>> allMap = new HashMap<>();
		for (int i = 0; i < n; i++) {
		    HashMap<Integer, Integer> map = new HashMap<>();
		    int x = sc.nextInt();
		    for (int j = 2; j <= Math.sqrt(x); j++) {
		        while (x % j == 0) {
		            if (map.containsKey(j)) {
		                map.put(j, map.get(j) + 1);
		            } else {
		                map.put(j, 1);
		            }
		            x /= j;
		        }
		    }
		    if (x != 1) {
		        if (map.containsKey(x)) {
		            map.put(x, map.get(x) + 1);
		        } else {
		            map.put(x, 1);
		        }
		    }
    	    for (Map.Entry<Integer, Integer> entry : map.entrySet()) {
    	        if (!allMap.containsKey(entry.getKey())) {
    	            allMap.put(entry.getKey(), new ArrayList<Integer>());
    	        }
                allMap.get(entry.getKey()).add(entry.getValue());
    	    }
		}
	    long total = 1;
	    for (Map.Entry<Integer, ArrayList<Integer>> entry : allMap.entrySet()) {
	        ArrayList<Integer> list = entry.getValue();
	        Collections.sort(list);
	        int sum = 0;
	        for (int i = 0; i < list.size() && i < k; i++) {
	            sum += list.get(list.size() - i - 1);
	        }
	        total *= pow(entry.getKey(), sum);
	        total %= MOD;
	    }
	    System.out.println(total);
	}
	
	static long pow(int base, int power) {
	    long ans = 1;
	    for (int i = 0; i < power; i++) {
	        ans *= base;
	        ans %= MOD;
	    }
	    return ans;
	}
}