#include <iostream>
#include <vector>
#include <array>

using std::array;
using std::vector;

template <int MOD>
class ModInt {
    using lint = long long;

public:
    int val;

    // constructor
    ModInt(lint v = 0) : val(v % MOD) {
        if (val < 0) val += MOD;
    };

    // assignment
    ModInt& operator=(const ModInt& x) {
        if (this != &x) { this->val = x.val; }
        return *this;
    }

    // unary operator
    ModInt operator+() const { return ModInt(val); }
    ModInt operator-() const { return ModInt(MOD - val); }
    ModInt operator~() const { return *this ^ (MOD - 2); }

    // increment / decrement
    ModInt& operator++() { return *this += 1; }
    ModInt& operator--() { return *this -= 1; }
    ModInt operator++(int) {
        ModInt before = *this;
        ++(*this);
        return before;
    }
    ModInt operator--(int) {
        ModInt before = *this;
        --(*this);
        return before;
    }

    // arithmetic
    ModInt operator+(const ModInt& x) const { return ModInt(*this) += x; }
    ModInt operator-(const ModInt& x) const { return ModInt(*this) -= x; }
    ModInt operator*(const ModInt& x) const { return ModInt(*this) *= x; }
    ModInt operator%(const ModInt& x) const { return ModInt(*this) %= x; }
    ModInt operator/(const ModInt& x) const { return ModInt(*this) /= x; }
    ModInt operator^(const ModInt& x) const { return ModInt(*this) ^= x; }

    // compound assignment
    ModInt& operator+=(const ModInt& x) {
        if ((val += x.val) >= MOD) val -= MOD;
        return *this;
    }
    ModInt& operator-=(const ModInt& x) {
        if ((val -= x.val) < 0) val += MOD;
        return *this;
    }
    ModInt& operator*=(const ModInt& x) {
        val = lint(val) * x.val % MOD;
        return *this;
    }
    ModInt& operator%=(const ModInt& x) {
        val %= x.val;
        return *this;
    }
    ModInt& operator/=(const ModInt& x) { return *this *= ~x; }
    ModInt& operator^=(const ModInt& x) {
        int n = x.val;
        ModInt b = *this;
        if (n < 0) n = -n, b = ~b;

        *this = 1;
        while (n > 0) {
            if (n & 1) *this *= b;
            n >>= 1;
            b *= b;
        }
        return *this;
    }

    // compare
    bool operator==(const ModInt& b) const { return val == b.val; }
    bool operator!=(const ModInt& b) const { return val != b.val; }
    bool operator<(const ModInt& b) const { return val < b.val; }
    bool operator<=(const ModInt& b) const { return val <= b.val; }
    bool operator>(const ModInt& b) const { return val > b.val; }
    bool operator>=(const ModInt& b) const { return val >= b.val; }

    // I/O
    friend std::ostream& operator<<(std::ostream& os, const ModInt& x) noexcept { return os << x.val; }
    friend std::istream& operator>>(std::istream& is, ModInt& x) noexcept { return is >> x.val; }
};

using mint = ModInt<998244353>;

constexpr int V = 1000000;
const mint inv2 = ~mint(2);

int main() {
    int n;
    std::cin >> n;

    array<int, V + 1> cnt;
    for (int i = 0; i < n; ++i) {
        int x;
        std::cin >> x;
        ++cnt[x];
    }

    array<mint, V + 1> sum, sqsum;
    // xの約数の総和、2乗和
    for (int x = 1; x <= V; ++x) {
        for (int y = x; y <= V; y += x) {
            sum[x] += mint(y) * cnt[y];
            sqsum[x] += mint(y) * y * cnt[y];
        }
    }

    mint ans = 0;
    array<mint, V + 1> w;
    // sum_{i|x} w[i] = 1 / x
    for (int x = 1; x <= V; ++x) {
        w[x] += mint(1) / x;
        for (int y = x * 2; y <= V; y += x) {
            w[y] -= w[x];
        }
        ans += w[x] * (sum[x] * sum[x] - sqsum[x]) * inv2;
    }

    std::cout << ans << std::endl;
    return 0;
}


Measured memory_bytes: 15872