import java.util.*;

public class Main {
  public static void main(String[] args) {
    Scanner sc = new Scanner(System.in);
    int n = sc.nextInt();
    int k = sc.nextInt();
    ArrayList<Integer> prime = new ArrayList<Integer>();
    int[] a = new int[n];
    for(int i = 0; i < n; i++) {
      a[i] = sc.nextInt();
      int t = a[i];
      for(int j = 2; j <= a[i]; j++) {
        if(t % j == 0) {
          if(!prime.contains(j)) prime.add(j);
        }
        while(t % j == 0) {
          t /= j;
        }
      }
    }
    int t = prime.size();
    int[][] rui = new int[n][t];
    for(int i = 0; i < n; i++) {
      int s = a[i];
      for(int j = 0; j < t; j++) {
        int p = prime.get(j);
        while(s % p == 0) {
          s /= p;
          rui[i][j]++;
        }
      }
    }
    long ans = 1;
    long MOD = (long)Math.pow(10, 9) + 7;
    for(int j = 0; j < t; j++) {
      int[] r = new int[n];
      for(int i = 0; i < n; i++) {
        r[i] = rui[i][j];
      }
      Arrays.sort(r);
      int p = prime.get(j);
      for(int l = n - 1; l >= n - k; l--) {
        ans = (ans * (long)Math.pow(p, r[l])) % MOD;
      }
    }
    System.out.println(ans);
  }
}