// May this submission get accepted
#include <bits/stdc++.h>

// エイリアス
using  ll = long signed long;
using ull = long unsigned long;
using  ld = long double;
using namespace std;

// エイリアス (補完・コンパイルが重くなる)
// #include <boost/multiprecision/cpp_int.hpp>
// using mll = boost::multiprecision::cpp_int;

// 汎用マクロ
#define ALL_OF(x) (x).begin(), (x).end()
#define REP(i,n) for (long long i=0, i##_len=(n); i<i##_len; i++)
#define RANGE(i,is,ie) for (long long i=(is), i##_end=(ie); i<=i##_end; i++)
#define DSRNG(i,is,ie) for (long long i=(is), i##_end=(ie); i>=i##_end; i--)
#define STEP(i, is, ie, step) for (long long i=(is), i##_end=(ie), i##_step = (step); i<=i##_end; i+=i##_step)
#define UNIQUE(v) do { sort((v).begin(), (v).end()); (v).erase(unique((v).begin(), (v).end()), (v).end()); } while (false)
#define FOREACH(i,q) for (auto &i : q)
template<class T> bool chmax(T &a, const T b) { if (a < b) {a = b; return true;} return false; }
template<class T> bool chmin(T &a, const T b) { if (a > b) {a = b; return true;} return false; }
constexpr int INF = numeric_limits<int>::max();
constexpr long long LINF = numeric_limits<long long>::max();
#define Yes(q) ((q) ? "Yes" : "No")
#define YES(q) ((q) ? "YES" : "NO")
#define Possible(q) ((q) ? "Possible" : "Impossible")
#define POSSIBLE(q) ((q) ? "POSSIBLE" : "IMPOSSIBLE")
#define DUMP(q) DUMP_FUNC(q, #q, __FILE__, __LINE__)
template <typename T> void DUMP_PROC(T x) { cerr << x; }
void DUMP_PROC(string x) { cerr << '"' << x << '"'; }
template <typename T> void DUMP_PROC(vector<T> x) { cerr << "["; for (auto &xi : x) { DUMP_PROC(xi); cerr << (&xi != &*x.rbegin()?", ":""); } cerr << "]"; }
template <typename T> void DUMP_FUNC(T x, const char* name, const char* fn, int ln) { cerr << "\e[32m[DEBUG]\e[0m " << name << ": "; DUMP_PROC(x); cerr << " @ " << fn << "(" << ln << ")" << endl; }
template<class T> T gcd(T a, T b) { if (a < b) swap(a, b); while (b) swap(a %= b, b); return a; }
template<class T> T lcm(const T a, const T b) { return a / gcd(a, b) * b; }

// gcc拡張マクロ
#define popcount __builtin_popcount
#define popcountll __builtin_popcountll

// 標準入出力
struct inp {
    size_t sz;
    inp(size_t _sz = 1) : sz(_sz) {}
    template <typename T> operator T () const { T a; cin >> a; return a; }
    template <typename T> operator vector<T> () const { vector<T> a(sz); for (size_t i = 0; i < sz; i++) cin >> a[i]; return a; }
    template <typename T, typename U> operator pair<T, U> () const { T f; U s; cin >> f >> s; return pair<T, U>(f, s); }
};
inp inp1; // input one
template <typename T> void say(const T x, const char* end = "\n") { cout << x << end; }
void say(const ld x, const char* end = "\n") { cout << setprecision(30) << x << end; }
template <typename T> void say(const vector<T> x, const char* sep = " ", const char* end = "\n") { REP(i, x.size()) { cout << x[i] << (i+1 == i_len ? end : sep); } }
template <typename T> void say(const vector<vector<T>> x, const char* sep = " ", const char* end = "\n") { REP(i, x.size()) { say(x[i], sep, end); } }

// モジュール

// 高速約数ゼータ変換 O(VlogV); V being x.size()
// fzt(x)[s] == Σ_{s|t/t|s} x[t] (ただし∀i,0|iとする)
// inv: これをtrueにするとメビウス, subset: これをtrueにするとt|s
template<typename T>
vector<T> fdzt(const vector<T> &x, const bool inv = false, const bool subset = false) {
    const size_t n = x.size();
    vector<uint_fast8_t> sieve(x.size(), true);
    vector<T> a = x;
    if (inv) {
        for (size_t i = 1; i < n; i++) {
            a[i] -= a[0];
        }
    }
    for (size_t i = 2; i < n; i++) {
        if (!sieve[i]) continue;
        if (!subset) {
            if (inv) {
                for (size_t j = 1; i*j < n; j++) {
                    sieve[i*j] = false;
                    a[j] -= a[i*j];
                }
            } else {
                for (size_t j = (n-1)/i; j > 0; j--) {
                    sieve[i*j] = false;
                    a[j] += a[i*j];
                }
            }
        } else {
            if (inv) {
                for (size_t j = (n-1)/i; j > 0; j--) {
                    sieve[i*j] = false;
                    a[i*j] -= a[j];
                }
            } else {
                for (size_t j = 1; i*j < n; j++) {
                    sieve[i*j] = false;
                    a[i*j] += a[j];
                }
            }
        }
    }
    if (!inv) {
        for (size_t i = 1; i < n; i++) {
            a[i] += a[0];
        }
    }
    return a;
}
// GCD/LCM畳み込み (x*y)[d] = Σ_{gcd/lcm(i,j)=d} x[i]*y[j], 但しgcd(x,0)==lcm(0,x)==x
template <typename T>
vector<T> convolve_zeta(const vector<T> &x, const vector<T> &y, const bool subset) {
    size_t n = max(x.size(), y.size());
    auto xc = x; xc.resize(n, 0);
    auto yc = y; yc.resize(n, 0);
    auto X = fdzt(xc, false, subset);
    auto Y = fdzt(yc, false, subset);
    for (size_t i = n; i--;) {
        X[i] *= Y[i];
    }
    return fdzt(X, true, subset);
}
template <typename T> vector<T> convolve_gcd(const vector<T> &x, const vector<T> &y) { return convolve_zeta(x, y, false); }
template <typename T> vector<T> convolve_lcm(const vector<T> &x, const vector<T> &y) { return convolve_zeta(x, y, true ); }

// い　つ　も　の
// constexpr long long pdiv = 1000000007LL;
constexpr long long pdiv = 998244353LL;
struct modint {
    using ll = long long;
    ll x = 0;
    modint(ll _x = 0): x(_x) { compile(); }
    void compile() { x = (x % pdiv + pdiv) % pdiv; }
    modint pow(long long n) const {
        long long result = 1;
        long long base = x;
        long long mask = 1;
        while (mask <= n) {
            if (n & mask) (result *= base) %= pdiv;
            mask <<= 1;
            (base *= base) %= pdiv;
        }
        return modint(result);
    }
    modint inv() const { return this->pow(pdiv-2); }
    modint operator+ (long long a) const { return modint(x + a); }
    modint operator- (long long a) const { return modint(pdiv + x - a); }
    modint operator* (long long a) const { return modint(x * a); }
    modint operator/ (long long a) const { return modint(x * modint(a).inv().x); }
    modint operator+ (modint a) const { return modint(x + a.x); }
    modint operator- (modint a) const { return modint(pdiv + x - a.x); }
    modint operator* (modint a) const { return modint(x * a.x); }
    modint operator/ (modint a) const { return modint(x * a.pow(pdiv-2).x); }
    template <typename T> modint& operator+= (T a) { return *this = *this + a; }
    template <typename T> modint& operator-= (T a) { return *this = *this - a; }
    template <typename T> modint& operator*= (T a) { return *this = *this * a; }
    template <typename T> modint& operator/= (T a) { return *this = *this / a; }
    modint operator- () const { return modint(pdiv - x); }
    template <typename T>
    modint& operator= (T a) { x = a; compile(); return *this; }
};
modint operator+ (const long long a, const modint b) { return modint(a) + b; }
modint operator- (const long long a, const modint b) { return modint(a) - b; }
modint operator* (const long long a, const modint b) { return modint(a) * b; }
modint operator/ (const long long a, const modint b) { return modint(a) / b; }
modint operator"" _p(unsigned long long _x) { return modint(_x); }
ostream& operator<< (ostream& ost, const modint a) { ost << a.x; return ost; }
istream& operator>> (istream& ist, modint &a) { ist >> a.x; return ist; }
modint pow(modint a, long long n) { return a.pow(n); }
vector<modint> fac_cache = {1}, invfac_cache = {1};
void prepare_fac(long long nmax) {
    long long m0 = fac_cache.size() - 1;
    if (m0 < nmax) {
           fac_cache.resize(nmax+1);
        invfac_cache.resize(nmax+1);
    }
    for (long long n = m0+1; n <= nmax; n++) {
        fac_cache[n] = fac_cache[n-1] * n;
        invfac_cache[n] = fac_cache[n].inv();
    }
}
modint    fac(long long n) { prepare_fac(n); return    fac_cache[n]; }
modint invfac(long long n) { prepare_fac(n); return invfac_cache[n]; }
bool isinpascal(long long n, long long r) { return n >= 0 && r >= 0 && n >= r; }
modint nCr(long long n, long long r) { return !isinpascal(n, r) ? 0_p : fac(n) * invfac(r) * invfac(n-r); }
modint nPr(long long n, long long r) { return !isinpascal(n, r) ? 0_p : fac(n) * invfac(n-r); }
modint nHr(long long n, long long r) { return nCr(n+r-1, r); }

// 処理内容
int main() {
    
    ios::sync_with_stdio(false); // stdioを使うときはコメントアウトすること
    cin.tie(nullptr);            // インタラクティブ問題ではコメントアウトすること
    
    constexpr ll pdiv = 998244353;

    ll n = inp1;
    vector<ll> a = inp(n);
    ll amax = *max_element(ALL_OF(a));

    vector<modint> v(amax+1, 0);
    vector<modint> v2(amax+1, 0);
    for (ll ai : a) v[ai] += ai;
    for (ll ai : a) v2[ai] += ai * ai;
    
    vector<modint> m(amax+1, 0);
    RANGE(g, 1, amax) m[g] = 1_p / g;
    auto w = fdzt(m, true, true);

    modint ans = 0;
    RANGE(g, 1, amax) {
        modint sum = 0, sum2 = 0;
        STEP(i, g, amax, g) {
            sum  += v[i];
            sum2 += v2[i];
        }
        ans += (sum * sum - sum2) / 2 * w[g];
    }
    say(ans);
    
}

Measured memory_bytes: 34048