#include <iostream>
#include <algorithm>
#include <iomanip>
#include <vector>
#include <queue>
#include <deque>
#include <set>
#include <map>
#include <tuple>
#include <cmath>
#include <numeric>
#include <functional>
#include <cassert>
#include <atcoder/modint>

#define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl;
#define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl;

template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }

using namespace std;
typedef long long ll;

template<typename T>
vector<vector<T>> vec2d(int n, int m, T v){
    return vector<vector<T>>(n, vector<T>(m, v));
}

template<typename T>
vector<vector<vector<T>>> vec3d(int n, int m, int k, T v){
    return vector<vector<vector<T>>>(n, vector<vector<T>>(m, vector<T>(k, v)));
}

template<typename T>
void print_vector(vector<T> v, char delimiter=' '){
    if(v.empty()) {
        cout << endl;
        return;
    }
    for(int i = 0; i+1 < v.size(); i++) cout << v[i] << delimiter;
    cout << v.back() << endl;
}

using mint = atcoder::modint998244353;

ostream& operator<<(ostream& os, const mint& m){
    os << m.val();
    return os;
}

class Eratosthenes{
    public:
    int m;
    vector<bool> is_prime;
    vector<int> primes;
    Eratosthenes(int m_){
        m = m_;
        init();
    }
    private:
    void init(){
        is_prime.assign(m+1, true);
        is_prime[0] = false, is_prime[1] = false;
        for(int i = 2; i <= m; i++){
            if(is_prime[i]){
                primes.push_back(i);
                for(int j = 2; i*j <= m; j++) is_prime[i*j] = false;
            }
        }
    }
};

auto et = Eratosthenes(100000);

int tot(int n){
    int ans = n;
    int m = n;
    for(int p: et.primes){
        if(n%p == 0){
            while(m%p == 0) m /= p;
            ans /= p;
            ans *= p-1;
        }
    }
    if(m != 1){
        ans /= m;
        ans *= m-1;
    }
    return ans;
}

vector<int> divs(int n){
    vector<int> ans;
    for(int x = 1; x*x <= n; x++){
        if(n%x == 0){
            ans.push_back(x);
            if(x*x != n) ans.push_back(n/x);
        }
    }
    return ans;
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout << setprecision(10) << fixed;
    int n, m; cin >> n >> m;
    vector<int> a(n);
    ll l = 1;
    for(int i = 0; i < n; i++) {
        cin >> a[i];
        l = lcm(l, (ll)a[i]);
    }
    mint ans = 0;
    auto d = divs(l);
    for(int g: d){
        mint tmp = 1;
        for(int i = 0; i < n; i++){
            int gg = gcd(g, a[i]);
            tmp *= mint(m).pow(gg);
        }
        ans += tmp*tot(l/g);
    }
    ans /= l;
    cout << ans << endl;
}