#include <algorithm>
#include <atcoder/all>
#include <bitset>
#include <cassert>
#include <cmath>
#include <ctime>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using namespace atcoder;
typedef long long ll;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--)
#define repk(i, k, n) for (int i = k; i < (int)(n); i++)
#define all(v) v.begin(), v.end()
#define mod1 1000000007
#define mod2 998244353
#define mod3 100000007
#define vi vector<int>
#define vs vector<string>
#define vc vector<char>
#define vl vector<ll>
#define vb vector<bool>
#define vvi vector<vector<int>>
#define vvc vector<vector<char>>
#define vvl vector<vector<ll>>
#define vvb vector<vector<bool>>
#define vvvi vector<vector<vector<int>>>
#define vvvl vector<vector<vector<ll>>>
#define pii pair<int, int>
#define pil pair<int, ll>
#define pli pair<ll, int>
#define pll pair<ll, ll>
#define vpii vector<pair<int, int>>
#define vpll vector<pair<ll, ll>>
#define vvpii vector<vector<pair<int, int>>>
#define vvpll vector<vector<pair<ll, ll>>>

template <typename T>
void debug(T e) {
    cerr << e << endl;
}

template <typename T>
void debug(vector<T> &v) {
    rep(i, v.size()) { cerr << v[i] << " "; }
    cerr << endl;
}

template <typename T>
void debug(vector<vector<T>> &v) {
    rep(i, v.size()) {
        rep(j, v[i].size()) { cerr << v[i][j] << " "; }
        cerr << endl;
    }
}

template <typename T>
void debug(vector<pair<T, T>> &v) {
    rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; }
}

template <typename T>
void debug(set<T> &st) {
    for (auto itr = st.begin(); itr != st.end(); itr++) {
        cerr << *itr << " ";
    }
    cerr << endl;
}

template <typename T>
void debug(multiset<T> &ms) {
    for (auto itr = ms.begin(); itr != ms.end(); itr++) {
        cerr << *itr << " ";
    }
    cerr << endl;
}

template <typename T>
void debug(map<T, T> &mp) {
    for (auto itr = mp.begin(); itr != mp.end(); itr++) {
        cerr << itr->first << " " << itr->second << endl;
    }
}

void debug_out() { cerr << endl; }

template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
    cerr << H << " ";
    debug_out(T...);
}

using mint = modint998244353;

void debug_mint1(vector<mint> &vec) {
    for (int i = 0; i < vec.size(); i++) {
        cerr << vec[i].val() << " ";
    }
    cerr << endl;
}

void debug_mint2(vector<vector<mint>> &vec) {
    for (int i = 0; i < vec.size(); i++) {
        for (int j = 0; j < vec[i].size(); j++) {
            cerr << vec[i][j].val() << " ";
        }
        cerr << endl;
    }
}

int main() {
    ll N, X;
    cin >> N >> X;
    vector<ll> A(N);
    rep(i, N) cin >> A[i];

    vector<pll> elim_1;
    elim_1.push_back(make_pair(-1, -1));
    for (ll i = 0; i < N; i++){
        if (A[i] != 1){
            elim_1.push_back(make_pair(i, A[i]));
        }
    }
    elim_1.push_back(make_pair(N, -1));
    // debug(elim_1);
    vector<ll> nxt_id(N + 1, -1);
    rep(i, elim_1.size() - 1){
        for (ll j = elim_1[i].first + 1; j <= elim_1[i + 1].first; j++){
            nxt_id[j] = i + 1;
        }
    }
    // debug(nxt_id);
    vector<ll> ulim(N + 1);
    for (ll i = 0; i < N + 1; i++){
        ll now_val;
        if (i == 0){
            now_val = X;
        }
        else{
            now_val = A[i - 1];
        }
        if (i == N){
            ulim[i] = N;
            break;
        }
        ll now_id = nxt_id[i];
        while (true){
            if (now_id == elim_1.size() - 1) break;
            else if (now_val % elim_1[now_id].second != 0){
                break;
            }
            now_val /= elim_1[now_id].second;
            now_id++;
        }
        ulim[i] = elim_1[now_id].first;
    }
    // debug(ulim);
    vector<mint> dp(N + 4);
    dp[0] = mint(1);
    dp[1] = mint(mod2 - 1);
    for (ll i = 0; i <= N; i++){
        dp[i + 1] += dp[i];
        dp[ulim[i] + 2] -= dp[i];
        dp[i + 1] += dp[i];
    }
    dp[N + 2] += dp[N + 1];
    // debug_mint1(dp);
    cout << dp[N + 1].val() << endl;
}