using System;
using System.Collections.Generic;
using System.Linq;
class Program
{
    static void Main(string[] args)
    {
        var input = Console.ReadLine().Split().Select(int.Parse).ToArray();
        int n = input[0];
        int k = input[1];
        var a = Console.ReadLine().Split().Select(int.Parse).ToList();
        var dp = new List<Dictionary<int, int>>();
        for (int i = 0; i <= n; i++)
            dp.Add(new Dictionary<int, int>());
        dp[0][1] = 1;
        for (int x = 1; x <= n; x++)
        {
            int ai = Gcd(a[x - 1], k);
            foreach (var y in dp[x - 1].Keys.ToList())
            {
                if (!dp[x].ContainsKey(y))
                    dp[x][y] = 0;
                dp[x][y] += dp[x - 1][y];
                dp[x][y] %= 998244353;
                int z = Gcd(y * ai, k);
                if (!dp[x].ContainsKey(z))
                    dp[x][z] = 0;
                dp[x][z] += dp[x - 1][y];
                dp[x][z] %= 998244353;
            }
        }
        int ans = dp[n][k];
        if (k == 1)
            ans -= 1;
        Console.WriteLine(ans);
    }

    static int Gcd(int a, int b)
    {
        if (a < b)
            return Gcd(b, a);
        while (b != 0)
        {
            int r = a % b;
            a = b;
            b = r;
        }
        return a;
    }
}