#include <algorithm>
#include <cassert>
#include <cctype>
#include <climits>
#include <cmath>
#include <complex>
#include <cstdio>
#include <cstring>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <vector>
#define rep(i, n) for (int i = 0; i < (int)(n); ++i)
//#define cerr if(false) cerr
#ifdef DEBUG
#define show(...) cerr << #__VA_ARGS__ << " = ", debug(__VA_ARGS__);
#else
#define show(...) 42
#endif
using namespace std;
using ll = long long;
using pii = pair<int, int>;
template <typename T, typename S>
ostream& operator<<(ostream& os, pair<T, S> a) {
    os << '(' << a.first << ',' << a.second << ')';
    return os;
}
template <typename T>
ostream& operator<<(ostream& os, vector<T> v) {
    for (auto x : v) os << x << ' ';
    return os;
}
void debug() {
    cerr << '\n';
}
template <typename H, typename... T>
void debug(H a, T... b) {
    cerr << a;
    if (sizeof...(b)) cerr << ", ";
    debug(b...);
}
//負の数を掛けたりするとバグる
template<int MOD>
class Modint{
public:
    int a;
    Modint(const long long v = 0):a(v % MOD){}
    int getmod() const{
        return MOD;
    }
    Modint operator+(const Modint rhs) const{
        return Modint(*this) += rhs;
    }
    Modint operator-(const Modint rhs) const{
        return Modint(*this) -= rhs;
    }
    Modint operator*(const Modint rhs) const{
        return Modint(*this) *= rhs;
    }
    Modint operator/(const Modint rhs) const{
        return Modint(*this) /= rhs;
    }
    Modint operator+(const long long rhs) const{
        return Modint(*this) += rhs;
    }
    Modint operator-(const long long rhs) const{
        return Modint(*this) -= rhs;
    }
    Modint operator*(const long long rhs) const{
        return Modint(*this) *= rhs;
    }
    Modint operator/(const long long rhs) const{
        return Modint(*this) /= rhs;
    }
    friend Modint operator+(const long long a, const Modint b){
        return b + a;
    }
    friend Modint operator-(const long long a, const Modint b){
        return -b + a;
    }
    friend Modint operator*(const long long a, const Modint b){
        return b * a;
    }
    friend Modint operator/(const long long a, const Modint b){
        return Modint(a) / b;
    }
    Modint &operator+=(const Modint rhs){
        a += rhs.a;
        if(a >= MOD){
            a -= MOD;
        }
        return *this;
    }
    Modint &operator-=(const Modint rhs){
        if(a < rhs.a){
            a += MOD;
        }
        a -= rhs.a;
        return *this;
    }
    Modint &operator*=(const Modint rhs){
        a = (long long)a * rhs.a % MOD;
        return *this;
    }
    Modint &operator/=(Modint rhs){
        int x = MOD - 2;
        while(x){
            if(x % 2){
                *this *= rhs;
            }
            rhs *= rhs;
            x /= 2;
        }
        return *this;
    }
    Modint &operator++(){
        *this += 1;
        return *this;
    }
    Modint &operator--(){
        *this -= 1;
        return *this;
    }
    Modint operator++(int){
        Modint res = *this;
        ++(*this);
        return res;
    }
    Modint operator--(int){
        Modint res = *this;
        --(*this);
        return res;
    }
    Modint &operator+=(const long long rhs){
        *this += Modint(rhs);
        return *this;
    }
    Modint &operator-=(const long long rhs){
        *this -= Modint(rhs);
        return *this;
    }
    Modint &operator*=(const long long rhs){
        *this *= Modint(rhs);
        return *this;
    }
    Modint &operator/=(const long long rhs){
        *this /= Modint(rhs);
        return *this;
    }
    Modint operator+() const{
        return *this;
    }
    Modint operator-() const{
        return Modint()-*this;
    }
    bool operator==(const Modint rhs) const{
        return a == rhs.a;
    }
    bool operator==(const long long rhs) const{
        return a == rhs;
    }
    friend bool operator==(const long long a, const Modint b){
        return a == b.a;
    }
    bool operator!=(const Modint rhs) const{
        return a != rhs.a;
    }
    bool operator!=(const long long rhs) const{
        return a != rhs;
    }
    friend ostream &operator<<(ostream &os, const Modint x){
        os << x.a;
        return os;
    }
    friend istream &operator>>(istream &is, Modint &x){
        is >> x.a;
        return is;
    }
    explicit operator bool() const{
        return a > 0;
    }
    bool operator!(){
        return a == 0;
    }
    explicit operator int() const{
        return a;
    }
    explicit operator long long() const{
        return (long long) a;
    }
    friend Modint pow(Modint a, long long b){
        Modint res = 1;
        while(b){
            if(b % 2){
                res *= a;
            }
            a *= a;
            b /= 2;
        }
        return res;
    }
};
using mint = Modint<998244353>;
int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    int n;
    cin >> n;
    vector<ll>a(n);
    const int sz = 1000005;
    vector<int>num(sz);
    rep(i,n){
        cin >> a[i];
        num[a[i]]++;
    }
    vector<mint> coeff(sz,1);
    for(int k = 1; k < sz; k++){
        coeff[k] /= k;
    }
    for(int k = 1; k < sz; k++){
        for(int i = 2 * k; i < sz; i += k){
            coeff[i] -= coeff[k];
        }
    }
    mint ans = 0;
    for(int k = 1; k < sz; k++){
        mint s,t;
        for(int i = k; i < sz; i += k){
            if(num[i]){
                s += mint(i) * num[i];
                t += mint(i) * i * num[i];
            }
        }
        ans += (s * s - t) * coeff[k];
    }
    cout << ans / 2 << endl;
}

Measured memory_bytes: 9600