#include <bits/stdc++.h>
using namespace std;
using lint = long long;
template<class T = int> using V = vector<T>;
template<class T = int> using VV = V< V<T> >;

template<unsigned P> struct ModInt {
  using M = ModInt;
  unsigned v;
  constexpr ModInt() : v(0) {}
  constexpr ModInt(auto x) : v(x >= 0 ? x % P : (P - -x % P) % P) {}
  constexpr ModInt(unsigned v, int) : v(v) {}
  static constexpr unsigned p() { return P; }
  M operator+() const { return *this; }
  M operator-() const { return {v ? P - v : 0, 0}; }
  explicit operator bool() const noexcept { return v; }
  bool operator!() const noexcept { return !(bool)*this; }
  M operator*(M r) const { return M(*this) *= r; }
  M operator/(M r) const { return M(*this) /= r; }
  M operator+(M r) const { return M(*this) += r; }
  M operator-(M r) const { return M(*this) -= r; }
  bool operator==(M r) const { return v == r.v; }
  bool operator!=(M r) const { return !(*this == r); }
  M& operator*=(M r) { v = (uint64_t)v * r.v % P; return *this; }
  M& operator/=(M r) { return *this *= r.inv(); }
  M& operator+=(M r) { if ((v += r.v) >= P) v -= P; return *this; }
  M& operator-=(M r) { if ((v += P - r.v) >= P) v -= P; return *this; }
  M inv() const {
    int a = v, b = P, x = 1, u = 0;
    while (b) {
      int q = a / b;
      swap(a -= q * b, b);
      swap(x -= q * u, u);
    }
    assert(a == 1);
    return x;
  }
  M pow(auto n) const {
    if (n < 0) return pow(-n).inv();
    M res = 1;
    for (M a = *this; n; a *= a, n >>= 1) if (n & 1) res *= a;
    return res;
  }
  friend M operator*(auto l, M r) { return M(l) *= r; }
  friend M operator/(auto l, M r) { return M(l) /= r; }
  friend M operator+(auto l, M r) { return M(l) += r; }
  friend M operator-(auto l, M r) { return M(l) -= r; }
  friend ostream& operator<<(ostream& os, M r) { return os << r.v; }
  friend istream& operator>>(istream& is, M& r) { lint x; is >> x; r = x; return is; }
  friend bool operator==(auto l, M r) { return M(l) == r; }
  friend bool operator!=(auto l, M r) { return !(l == r); }
};
using Mint = ModInt<998244353>;

V<> sieve(int n) {
  V<bool> b((n + 1) / 3, true);
  V<> res{2, 3};
  for (int p = 5, d = 2; p * p < n; p += d, d = 6 - d) if (b[p / 3]) {
    for (int i = 5 * p, d = 2 * p; i < n; i += d, d = 6 * p - d) b[i / 3] = false;
  }
  for (int p = 5, d = 2; p < n; p += d, d = 6 - d) if(b[p / 3]) res.push_back(p);
  while (!res.empty() and res.back() >= n) res.pop_back();
  return res;
}

template<class T> void fmult(V<T>& a, const V<>& ps) {
  int n = a.size();
  for (int p : ps) {
    for (int i = (n - 1) / p; i; --i) {
      a[i] += a[i * p];
    }
  }
}
template<class T> void ifmult(V<T>& a, const V<>& ps) {
  int n = a.size();
  for (int p : ps) {
    for (int i = 1; i * p < n; ++i) {
      a[i] -= a[i * p];
    }
  }
}


int main() {
  constexpr int U = 1e6;
  auto ps = sieve(U);
  V<Mint> inv(U + 1, 1);
  for (int i = 2; i <= U; ++i) {
    int q = Mint::p() / i, r = Mint::p() - q * i;
    inv[i] = -q * inv[r];
  }

  cin.tie(nullptr); ios::sync_with_stdio(false);
  int n; cin >> n;
  V<Mint> x(U + 1);
  Mint res;
  while (n--) {
    int a; cin >> a;
    x[a] += a;
    res -= a;
  }

  fmult(x, ps);
  for (auto&& e : x) {
    e *= e;
  }
  ifmult(x, ps);

  for (int i = 1; i <= U; ++i) {
    res += x[i] * inv[i];
  }
  res /= 2;
  cout << res << '\n';
}

Measured memory_bytes: 8572