#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using namespace atcoder;
#define rep(i, n) for(int i=0;i<(n);++i)
#define rep1(i, n) for(int i=1;i<=(n);i++)
#define ll long long
using mint = modint998244353;
using P = pair<ll,ll>;
using lb = long double;
using T = tuple<ll, ll, ll>;
#ifdef LOCAL
#  include <debug_print.hpp>
#  define dbg(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__)
#else
#  define dbg(...) (static_cast<void>(0))
#endif

int main()
{
    int n, m;
    cin >> n >> m;
    vector<int> a(n);
    rep(i,n) cin >> a[i];
    vector<mint> ans(m+1);
    vector<int> cnt(m+1);
    rep(i,n) {
        for(int j=1;j*j<=a[i];j++){
            if(a[i]%j==0) {
                cnt[j]++;
                if(a[i]/j!=j) cnt[a[i]/j]++;
            }
        }
    }
    for(int k=m;k>=1;k--){
        ans[k] = mint(2).pow(cnt[k])-1;
        for(int j=k+k;j<=m;j+=k) ans[k] -= ans[j];
    }
    for(int i=1;i<=m;i++){
        cout << ans[i].val() << endl;
    }
    return 0;
}