#include <bits/stdc++.h>

#include <atcoder/modint>

using namespace std;

#define show(...) static_cast<void>(0)
#define all(c) begin(c), end(c)
#define for(...) for ([[maybe_unused]] auto&& __VA_ARGS__)
#define lambda(...) [&](auto&&... args) { return __VA_ARGS__; }
#define $1 get<0>(tie(args...))
#define $2 get<1>(tie(args...))
template <bool = false> struct Rep {
  int l, r, d;
  Rep begin() const;
  int end() const;
  bool operator!=(int) const;
  void operator++();
  int operator*() const;
};
Rep<> rep(int, int, int = 1);
Rep<> rep1(int, int, int = 1);
Rep<true> per(int, int, int = 1);
Rep<true> per1(int, int, int = 1);
template <class R> int len(R&&);
template <class R, class I> int len(R&&, I);
template <class T, class U = T> bool chmin(T&, U&&);
template <class T, class U = T> bool chmax(T&, U&&);
template <class T> ostream& operator<<(ostream&, const vector<T>&);
template <class T> auto operator<<(ostream& os, T&& t) -> decltype(tuple_cat(t), os);
template <class T = int> T input();
template <class... Ts> void print(Ts&&...);

using Fp = atcoder::modint998244353;

vector<int> divisors(int n) {
  vector<int> ret;
  for (i = 1; i * i <= n; ++i) {
    if (n % i == 0) {
      ret.push_back(i);
      if (i * i < n) {
        ret.push_back(n / i);
      }
    }
  }
  sort(all(ret));
  return ret;
}

vector<int> go(int n, const vector<int>& d) {
  vector<int> ret(len(d));
  for (i : per(0, len(d))) {
    ret[i] = n / d[i];
    for (j : rep(i + 1, len(d))) {
      if (d[j] % d[i] == 0) {
        ret[i] -= ret[j];
      }
    }
  }
  return ret;
}

void solve() {
  int n = input();
  int m = input();
  vector<int> a(n);
  generate(all(a), input<>);
  int L = accumulate(all(a), 1, lcm<int, int>);
  auto d = divisors(L);
  auto f = go(L, d);
  Fp ans = 0;
  for (i : rep(0, len(d))) {
    Fp cur = 1;
    for (e : a) {
      cur *= Fp(m).pow(gcd(e, d[i]));
    }
    ans += cur * f[i];
  }
  ans /= L;
  print(ans.val());
}

int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);

  solve();
}

template <bool R>
Rep<R> Rep<R>::begin() const {
  return *this;
}

template <bool R>
int Rep<R>::end() const {
  return 0;
}

template <bool R>
bool Rep<R>::operator!=(int) const {
  return l <= r;
}

template <bool R>
void Rep<R>::operator++() {
  if constexpr (R) {
    r -= d;
  } else {
    l += d;
  }
}

template <bool R>
int Rep<R>::operator*() const {
  if constexpr (R) {
    return r;
  } else {
    return l;
  }
}

inline Rep<> rep(int l, int r, int d) {
  assert(0 < d);
  return {l, r - 1, d};
}

inline Rep<> rep1(int l, int r, int d) {
  assert(0 < d);
  return {l, r, d};
}

inline Rep<true> per(int l, int r, int d) {
  assert(0 < d);
  assert((r - l) % d == 0);
  return {l, r - d, d};
}

inline Rep<true> per1(int l, int r, int d) {
  assert(0 < d);
  return {l, r, d};
}

template <class R>
int len(R&& r) {
  return static_cast<int>(size(forward<R>(r)));
}

template <class R, class I>
int len(R&& r, I i) {
  return static_cast<int>(distance(begin(forward<R>(r)), i));
}

template <class T, class U>
bool chmin(T& x, U&& y) {
  return y < x && (x = forward<U>(y), true);
}

template <class T, class U>
bool chmax(T& x, U&& y) {
  return x < y && (x = forward<U>(y), true);
}

template <class T>
ostream& operator<<(ostream& os, const vector<T>& v) {
  auto sep = "";
  for (e : v) {
    os << exchange(sep, " ") << e;
  }
  return os;
}

template <class T>
auto operator<<(ostream& os, T&& t) -> decltype(tuple_cat(t), os) {
  auto f = [&](auto&&... args) -> ostream& {
    [[maybe_unused]] auto sep = "";
    (..., (os << exchange(sep, " ") << forward<decltype(args)>(args)));
    return os;
  };
  return apply(f, forward<T>(t));
}

template <class T>
T input() {
  T x;
  cin >> x;
  return x;
}

template <class... Ts>
void print(Ts&&... xs) {
  cout << forward_as_tuple(forward<Ts>(xs)...) << '\n';
}