using System;
using static System.Console;
using System.Linq;
using System.Collections.Generic;

class Program
{
    static int NN => int.Parse(ReadLine());
    static int[] NList => ReadLine().Split().Select(int.Parse).ToArray();
    static int[][] NArr(long n) => Enumerable.Repeat(0, (int)n).Select(_ => NList).ToArray();
    public static void Main()
    {
        Solve();
    }
    static void Solve()
    {
        var c = NList;
        var (n, m) = (c[0], c[1]);
        var a = NList;
        var pcount = new int[m + 1];
        foreach (var ai in a) foreach (var p in PList(ai)) ++pcount[p];
        var ans = new long[m + 1];
        var mod = 998_244_353;
        for (var i = m; i > 0; --i)
        {
            var sub = 1L;
            for (var j = 0; j < pcount[i]; ++j) sub = (sub << 1) % mod;
            --sub;
            for (var j = i * 2; j < ans.Length; j += i)
            {
                sub = (sub + mod - ans[j]) % mod;
            }
            ans[i] = sub;
        }
        WriteLine(string.Join("\n", ans.Skip(1)));
    }
    static List<int> PList(int n)
    {
        var ans = new List<int>();
        var rev = new List<int>();
        for (var i = 1; i * i <= n; ++i)
        {
            if (n % i == 0)
            {
                ans.Add(i);
                if (i * i < n) rev.Add(n / i);
            }
        }
        rev.Reverse();
        return ans.Concat(rev).ToList();
    }
}