using System;
using System.IO;
using System.Linq;
using System.Text;
using System.Collections.Generic;
using System.Diagnostics;
using System.Numerics;
using Enu = System.Linq.Enumerable;

public class Program
{
    static readonly int Mod = (int)1e9 + 7;
    static void Add(ref int a, int b) { if ((a += b) >= Mod) a -= Mod; }

    public void Solve()
    {
        int N = Reader.Int(), K = Reader.Int();
        var A = Reader.IntArray(N);
        var factors = A.Select(a => Factorization(a)).ToArray();
        var primes = new HashSet<int>();
        foreach (var fac in factors)
            foreach (int p in fac.Keys)
                primes.Add(p);
        long ans = 1;
        foreach (int p in primes)
        {
            var num = new int[N];
            for (int i = 0; i < N; i++)
                num[i] = factors[i].ContainsKey(p) ? factors[i][p] : 0;
            Array.Sort(num);
            int sum = 0;
            for (int i = N - 1; i >= N - K; i--)
                sum += num[i];
            for (int pow = 0; pow < sum; pow++)
                ans = ans * p % Mod;
        }

        Console.WriteLine(ans);
    }

    static Dictionary<int, int> Factorization(int n)
    {
        var dic = new Dictionary<int, int>();
        for (int i = 2; (long)i * i <= n; i++)
            while (n % i == 0)
            {
                n /= i;
                if (!dic.ContainsKey(i)) dic[i] = 1;
                else dic[i]++;
            }
        if (n > 1) dic[n] = 1;
        return dic;
    }
}


class Entry { static void Main() { new Program().Solve(); } }
class Reader
{
    static TextReader reader = Console.In;
    static readonly char[] separator = { ' ' };
    static readonly StringSplitOptions op = StringSplitOptions.RemoveEmptyEntries;
    static string[] A = new string[0];
    static int i;
    static void Init() { A = new string[0]; }
    public static void Set(TextReader r) { reader = r; Init(); }
    public static void Set(string file) { reader = new StreamReader(file); Init(); }
    public static bool HasNext() { return CheckNext(); }
    public static string String() { return Next(); }
    public static int Int() { return int.Parse(Next()); }
    public static long Long() { return long.Parse(Next()); }
    public static double Double() { return double.Parse(Next()); }
    public static int[] IntLine() { return Array.ConvertAll(Split(Line()), int.Parse); }
    public static int[] IntArray(int N) { return Range(N, Int); }
    public static int[][] IntTable(int H) { return Range(H, IntLine); }
    public static string[] StringArray(int N) { return Range(N, Next); }
    public static string[][] StringTable(int N) { return Range(N, () => Split(Line())); }
    public static string Line() { return reader.ReadLine().Trim(); }
    static T[] Range<T>(int N, Func<T> f) { return Enu.Range(0, N).Select(i => f()).ToArray(); }
    static string[] Split(string s) { return s.Split(separator, op); }
    static string Next() { CheckNext(); return A[i++]; }
    static bool CheckNext()
    {
        if (i < A.Length) return true;
        string line = reader.ReadLine();
        if (line == null) return false;
        if (line == "") return CheckNext();
        A = Split(line);
        i = 0;
        return true;
    }
}