#include <bits/stdc++.h>
#include <unistd.h>
 
using namespace std;
 
#define DEBUG(x) cerr<<#x<<": "<<x<<endl;
#define DEBUG_VEC(v) cerr<<#v<<":";for(int i=0;i<v.size();i++) cerr<<" "<<v[i]; cerr<<endl
#define DEBUG_MAT(v) cerr<<#v<<endl;for(int i=0;i<v.size();i++){for(int j=0;j<v[i].size();j++) {cerr<<v[i][j]<<" ";}cerr<<endl;}
 
 
typedef long long ll;

#define vi vector<int>
#define vl vector<ll>
#define vii vector< vector<int> >
#define vll vector< vector<ll> >
#define vs vector<string>
#define pii pair<int,int>
#define pis pair<int,string>
#define psi pair<string,int>
#define pll pair<ll,ll>
template<class S, class T> pair<S, T> operator+(const pair<S, T> &s, const pair<S, T> &t) { return pair<S, T>(s.first + t.first, s.second + t.second); }
template<class S, class T> pair<S, T> operator-(const pair<S, T> &s, const pair<S, T> &t) { return pair<S, T>(s.first - t.first, s.second - t.second); }
template<class S, class T> ostream& operator<<(ostream& os, pair<S, T> p) { os << "(" << p.first << ", " << p.second << ")"; return os; }
#define X first
#define Y second
#define rep(i,n) for(int i=0;i<(n);i++)
#define rep1(i,n) for(int i=1;i<=(n);i++)
#define rrep(i,n) for(int i=(n)-1;i>=0;i--)
#define rrep1(i,n) for(int i=(n);i>0;i--)
#define REP(i,a,b) for(int i=a;i<b;i++)
#define in(x, a, b) (a <= x && x < b)
#define all(c) c.begin(),c.end()
template<class T> bool chmax(T &a, const T &b) { if (a<b) { a = b; return 1; } return 0; }
template<class T> bool chmin(T &a, const T &b) { if (a>b) { a = b; return 1; } return 0; }
#define UNIQUE(v) v.erase(std::unique(v.begin(), v.end()), v.end());
const ll inf = 1000000001;
const ll INF = (ll)1e18 + 1;
//const ll MOD = 1000000007;
const ll MOD = 998244353;
const double pi = 3.14159265358979323846;
#define Sp(p) cout<<setprecision(15)<< fixed<<p<<endl;
int dx[4] = { -1,0, 1,0 }, dy[4] = { 0,1,0,-1 };
int dx2[8] = { 1,1,0,-1,-1,-1,0,1 }, dy2[8] = { 0,1,1,1,0,-1,-1,-1 };
#define fio() cin.tie(0); ios::sync_with_stdio(false);
// #define mp make_pair
//#define endl '\n'


const int MAXN = 1000100;

vl fact(MAXN);
vl rfact(MAXN);

ll mod_pow(ll x, ll p, ll M = MOD) {
  ll a = 1;
  while (p) {
    if (p % 2)
      a = a*x%M;
    x = x*x%M;
    p /= 2;
  }
  return a;
}

ll mod_inverse(ll a, ll M = MOD) {
  return mod_pow(a, M - 2, M);
}

void set_fact(ll n, ll M = MOD) {
  fact[0] = fact[1] = rfact[0] = rfact[1] = 1;
  for (ll i = 2; i <= n; i++) {
    fact[i] = i * fact[i - 1] % M;
    // rfact[i] = mod_inverse(fact[i], M);
  }
}

const int ma = 1000000;
vi yakusuu[ma + 1];
vl g2a[ma + 1];

int main() {
  fio();
  int n;
  cin >> n;
  //int ma = 10;
  //set_fact(ma + 10);

  int for_num = 0;
  // 1 ~ maの約数を全列挙
  rep1 (x, ma) {
    for (int rate = 1; rate * x <= ma; rate++) {
      yakusuu[rate * x].push_back(x);
      for_num++;
    }
  }
  assert(for_num < 50000000);
  
  vll g2a(ma + 1);

  vl a(n);
  rep (i, n) {
    cin >> a[i];

    // 約数ごとに
    rep (j, yakusuu[a[i]].size()) {
      for_num++;
      g2a[yakusuu[a[i]][j]].push_back(a[i]);
    }
  }
  assert(for_num < 100000000);
  

  ll inv2 = mod_inverse(2);
  
  ll ans = 0;
  vl add2(ma + 1);
  rrep1 (x, ma) {
    //DEBUG(x);
    ll add = 0;
    ll sum = 0;
    int m = g2a[x].size();
    rep (i, m) {
      sum += g2a[x][i];
    }
    sum %= MOD;
 
    //DEBUG(sum);
    add = sum * sum % MOD;
    rep (i, m) {
      add -= g2a[x][i] * g2a[x][i] % MOD;
    }
    add %= MOD;
    add = add * inv2 % MOD;
    //DEBUG(add);
    
    for (int rate = 2; x * rate <= ma; rate++) {
      add -= add2[x*rate];
    }
    add %= MOD;

    add2[x] = add;
  }

  rep1 (i, ma) {
    ans += add2[i] * mod_inverse(i) % MOD;
    ans %= MOD;
  }
  ans = (ans + MOD) % MOD;

  cout << ans << endl;
}


Measured memory_bytes: 263464