#include <bits/stdc++.h>
#include <random>

using namespace std;

typedef unsigned long long ull;
typedef long long ll;
typedef long double ld;
#define double ld
//#define int ll
//#define int __int128
//#define ll __int128
typedef pair<int, int   > pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<pii> vpi;
typedef vector< vi > vvi;
typedef vector< vvi > vvvi;
typedef vector<short> vs;
typedef vector<vs> vvs;
typedef vector<vvs> vvvs;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<vvl> vvvl;
typedef vector<ld> vld;
typedef vector<vld> vvld;
typedef vector<vvld> vvvld;
typedef vector<string> vst;
typedef vector<vst> vvst;
typedef pair<ld, ld> pld;
//typedef complex<double> base;

#define inmin(a, b) a = min(a, (b))
#define inmax(a, b) a = max(a, (b))
#define ALL(a) a.begin(),a.end()
#define RALL(a) a.rbegin(),a.rend()
#define sqr(x) ((x) * (x))
#define fori(i, n) for(int i = 0; i < (int)(n); ++i)
#define SZ(a) ((int)((a).size()))
#define triple(T) tuple<T, T, T>
#define quad(T) tuple<T, T, T, T>
#define watch(x) cerr << (#x) << " = " << (x) << endl;

#ifdef RUS_HOME
#define cerr cout
#else
#define cerr if (false) cerr
#endif

const double PI = 2 * acos(0.0);
#define rand shittttty_shit
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
mt19937_64 rng_64(chrono::steady_clock::now().time_since_epoch().count());

const string DIGITS = "0123456789";
const string ALPH = "abcdefghijklmnopqrstuvwxyz";

template <class T0, class T1>
inline ostream & operator << (ostream &out, pair<T0, T1> &a) {
    return out << "{" << a.first << ", " << a.second << "}";
}

template <class T0, class T1, class T2>
inline ostream & operator << (ostream &out, tuple<T0, T1, T2> &a) {
    return out << "{" << get<0>(a) << ", " << get<1>(a) << ", " << get<2>(a) << "}";
}

template <class T0, class T1, class T2, class T3>
inline ostream & operator << (ostream &out, tuple<T0, T1, T2, T3> &a) {
    return out << "{" << get<0>(a) << ", " << get<1>(a) << ", " << get<2>(a) << ", " <<  get<3>(a) << "}";
}

template<class T>
inline ostream & operator << (ostream &out, vector<T> &a) {
    out << "[";
    fori (i, a.size())
        out << a[i] << vector<string>{", ", "]  "}[i + 1 == a.size()];
    return out;
}



void smain();

signed main() {
    ios::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);

#ifdef RUS_HOME
    freopen("input.txt", "r", stdin);
    clock_t start = clock();
#endif
    cout << setprecision(12) << fixed;
    smain();
#ifdef RUS_HOME
    cout << "\n\n\n\nTOTAL EXECUTION TIME: " << float( clock () - start ) /  CLOCKS_PER_SEC << endl;
#endif
    return 0;
}

const int N = 1e6 + 1, oo = 1e9, MOD = 998244353;


int p[N], w[N];
vi g[N];

int binpow(int a, int n) {

    int b = 1LL;
    while (n) {
        if (n & 1) {
            b = 1LL * b * a % MOD;
        }
        a = 1LL * a * a % MOD;
        n >>= 1;
    }
    return b;
//    if (n == 1)
//        return a;
//
//    int v = binpow(a, n >> 1);
//    int b = 1LL * v * v % MOD;
//    if (n & 1)
//        b = 1LL * b * a % MOD;
//    return b;
}



void smain() {

    int n; cin >> n;
    vi a(n);
    for (int i = 0; i < n; i++) {
        cin >> a[i];
    }
    w[1] = 1;
    for (int i = 2; i < N; i++) {
        w[i] = binpow(i, MOD - 2);
    }
    for (int i = 1; i < N; i++) {
        for (int j = i; j < N; j += i) {
            g[j].push_back(i);
            if (i != j) {
                w[j] = w[j] - w[i] + MOD;
                if (w[j] >= MOD)
                    w[j] -= MOD;
            }
        }
    }


    int ans = 0;
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < g[a[i]].size(); j++) {
            int v = g[a[i]][j];
            ans = (ans + 1LL * w[v] * a[i] % MOD * p[v] % MOD) % MOD;
            p[v] += a[i];
            if (p[v] >= MOD)
                p[v] -= MOD;
        }
    }

    cout << ans;



}


Measured memory_bytes: 123392