#include <bits/stdc++.h>

////////////
// ModInt //
////////////

// 四則演算の最も左に存在する値がModIntでなければキャストでバグる
// 例えばx = mint * 1000;やx = ModInt(1000) * mint;はいいがx = 1000 * mint;は駄目。
template<int64_t mod_ = 1'000'000'007>
class ModInt {
private:
	int64_t integer_;

public:
	constexpr ModInt(const int64_t initial_number = 0)
		: integer_(initial_number){}
	
	// 四則演算
	constexpr ModInt operator+(const ModInt& operand) const
	{
		ModInt ret{this->integer_ + operand.integer_};
		if (ret.integer_ >= mod_)
			ret.integer_ -= mod_;
		return ret;
	}
	constexpr ModInt operator-(const ModInt& operand) const
	{
		ModInt ret{this->integer_ - operand.integer_};
		if (ret.integer_ < 0)
			ret.integer_ += mod_;
		return ret;
	}
	constexpr ModInt operator*(const ModInt& operand) const
	{
		return {this->integer_ * operand.integer_ % mod_};
	}
	constexpr ModInt operator/(const ModInt& operand) const
	{
		return *this * (operand ^ (mod_ - 2));
	}

	// 単項演算子
	constexpr ModInt& operator++()
	{
		if (integer_ + 1 == mod_) integer_ = 0;
		else integer_++;
		return *this;
	}

	constexpr ModInt& operator--()
	{
		if (integer_ == 0) integer_ = mod_ - 1;
		else integer_--;
		return *this;
	}

	constexpr ModInt operator+()
	{
		return *this;
	}

	constexpr ModInt operator-()
	{
		if (integer_ == 0) return ModInt(0ll);
		else return ModInt(mod_ - integer_);
	}

	// 累乗
	constexpr ModInt operator^(const int64_t operand) const
	{
		ModInt ret{1}, pow_ope{this->integer_};
		for (int64_t pow{operand}; pow > 0; pow >>= 1)
		{
			if (pow & 1) ret *= pow_ope;
			pow_ope *= pow_ope;
		}
		return ret;
	}

	// 代入
	constexpr ModInt& operator=(const ModInt& operand)
	{
		this->integer_ = operand.integer_;
		return *this;
	}
	constexpr ModInt& operator+=(const ModInt& operand)
	{
		*this = *this + operand;
		return *this;
	}
	constexpr ModInt& operator-=(const ModInt& operand)
	{
		*this = *this - operand;
		return *this;
	}
	constexpr ModInt& operator*=(const ModInt& operand)
	{
		*this = *this * operand;
		return *this;
	}
	constexpr ModInt& operator/=(const ModInt& operand)
	{
		*this = *this / operand;
		return *this;
	}

	// その他
	constexpr operator int64_t() { return integer_; }

	constexpr ModInt getOne() const
	{
		return ModInt(1ll);
	}
	constexpr ModInt getZero() const
	{
		return ModInt(0ll);
	}
};
using Mint = ModInt<998'244'353>;

////////////////
// 組み合わせ //
///////////////

template<int64_t mod_ = 998'244'353, int max_ = 1'000'000>
class Combination {
public:
	std::array<ModInt<mod_>, max_ + 1> inv;

	constexpr Combination()
	{
		inv[0] = inv[1] = 1;
		for (int num{2}; num <= max_; num++)
			inv[num] = (mod_ - (int64_t)inv[mod_ % num] * (mod_ / num) % mod_) % mod_;
	}
};
Combination<> combi;

int main()
{
	constexpr int limit{1'000'000};
	int N;
	scanf("%d", &N);
	std::vector<int> count(limit + 1);
	for (int i{}; i < N; i++)
	{
		int A;
		scanf("%d", &A);
		count[A]++;
	}
	std::vector<Mint> now_sum(limit + 1), sum(limit + 1);
	for (int i{1}; i <= limit; i++)
		for (int j{i}; j <= limit; j += i)
			for (int k{}; k < count[j]; k++)
			{
				sum[i] += now_sum[i] * Mint(j);
				now_sum[i] += Mint(j);
			}

	for (int i{limit}; i >= 1; i--)
		for (int j{2 * i}; j <= limit; j += i)
			sum[i] -= sum[j];
	Mint ans;
	for (int i{1}; i <= limit; i++)
		ans += sum[i] * combi.inv[i];
	std::cout << ans << std::endl;

	return 0;
}

Measured memory_bytes: 27648