import java.io.*;
import java.util.*;
import java.util.stream.*;

public class Main {
    static final int MOD = 1000000007;
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner();
        int n = sc.nextInt();
        int k = sc.nextInt();
        HashMap<Integer, PriorityQueue<Integer>> all = new HashMap<>();
        while (n-- > 0) {
            int x = sc.nextInt();
            for (int i = 2; i <= Math.sqrt(x); i++) {
                int count = 0;
                while (x % i == 0) {
                    count++;
                    x /= i;
                }
                if (count > 0) {
                    if (!all.containsKey(i)) {
                        all.put(i, new PriorityQueue<>());
                    }
                    all.get(i).add(-count);
                }
            }
            if (x > 1) {
                if (!all.containsKey(x)) {
                    all.put(x, new PriorityQueue<>());
                }
                all.get(x).add(-1);
            }
        }
        long ans = 1;
        for (int x : all.keySet()) {
            int count = 0;
            for (int i = 0; i < k && all.get(x).size() > 0; i++) {
                count -= all.get(x).poll();
            }
            ans *= pow(x, count);
            ans %= MOD;
        }
        System.out.println(ans);
    }
    
    static long pow(long x, int p) {
        if (p == 0) {
            return 1;
        } else if (p % 2 == 0) {
            return pow(x * x % MOD, p / 2);
        } else {
            return pow(x, p - 1) * x % MOD;
        }
    }

}
class Utilities {
    static String arrayToLineString(Object[] arr) {
        return Arrays.stream(arr).map(x -> x.toString()).collect(Collectors.joining("\n"));
    }
    
    static String arrayToLineString(int[] arr) {
        return String.join("\n", Arrays.stream(arr).mapToObj(String::valueOf).toArray(String[]::new));
    }
}
class Scanner {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    StringTokenizer st = new StringTokenizer("");
    StringBuilder sb = new StringBuilder();
    
    public Scanner() throws Exception {
        
    }
    
    public int nextInt() throws Exception {
        return Integer.parseInt(next());
    }
    
    public long nextLong() throws Exception {
        return Long.parseLong(next());
    }
    
    public double nextDouble() throws Exception {
        return Double.parseDouble(next());
    }
    
    public int[] nextIntArray() throws Exception {
        return Stream.of(br.readLine().split(" ")).mapToInt(Integer::parseInt).toArray();
    }
    
    public String next() throws Exception {
        while (!st.hasMoreTokens()) {
            st = new StringTokenizer(br.readLine());
        }
        return st.nextToken();
    }
    
}