module main;
// https://kmjp.hatenablog.jp/entry/2015/01/12/0930 より
// 組み合わせ
import std;

// 多次元配列をある値で埋める
void fill(A, T)(ref A a, T value) if (isArray!A)
{
	alias E = ElementType!A;
	static if (isArray!E) {
		foreach (ref e; a)
			fill(e, value);
	} else {
		a[] = value;
	}
}
// C++ の tie
auto tie(StoreElements...)(ref StoreElements stores)
{
	alias Elements = staticMap!(Unqual, StoreElements);
	
	template toPointer(T)
	{
		alias toPointer = T*;
	}
	
	struct Holder
	{
		alias StoreElementsPtrs = staticMap!(toPointer, StoreElements);
		StoreElementsPtrs storePtrs;
		
		this(ref StoreElements stores)
		{
			foreach(i, _; StoreElements)
			{
				storePtrs[i] = &stores[i];
			}
		}
		
		void opAssign(Tuple!Elements values)
		{
			foreach(i, _; Elements)
			{
				*storePtrs[i] = values[i];
			}
		}
	}
	
	return Holder(stores);
}
struct ModInt(long MOD) {
private:
	long val;
public:
	// コンストラクタ
	// useMod:MODで剰余を取る処理を行うかどうか
	this(long x, bool useMod = true)
	{
		if (useMod) {
			val = x % MOD;
			if (val < 0) val += MOD;
		} else
			val = x;
	}
	@property long value() const { return val; }
	@property ModInt value(long x) { val = x % MOD; if (val < 0) val += MOD; return this; }
	// 代入演算子
	ModInt opAssign(T)(T x)
		if (isIntegral!T)
	{
		val = x % MOD;
		if (val < 0) val += MOD;
		return this;
	}
	// 演算代入演算子
	ModInt opOpAssign(string op, T)(T rhs) pure nothrow
		if (is(T : ModInt) && (op == "+" || op == "-" || op == "*" || op == "/"))
	{
		static if (op == "+") {
			val += rhs.val;
			while (val >= MOD) val -= MOD;
		} else static if (op == "-") {
			val -= rhs.val;
			while (val < 0) val += MOD;
		} else static if (op == "*") {
			val = val * rhs.val % MOD;
			while (val < 0) val += MOD;
		} else static if (op == "/") {
			val = val * rhs.inv().val % MOD;
			while (val < 0) val += MOD;
		}
		return this;
	}
	ModInt opOpAssign(string op, T)(T rhs) pure nothrow
		if (isIntegral!T && (op == "+" || op == "-" || op == "*" || op == "/"))
	{
		static if (op == "+") {
			val += rhs;
			while (val >= MOD) val -= MOD;
		} else static if (op == "-") {
			val -= rhs;
			while (val < 0) val += MOD;
		} else static if (op == "*") {
			val = val * rhs % MOD;
			while (val < 0) val += MOD;
		} else static if (op == "/") {
			val = val * Mint(rhs).inv().val % MOD;
			while (val < 0) val += MOD;
		}
		return this;
	}
	// 二項演算子
	ModInt opBinary(string op, T)(T rhs) pure nothrow
		if (is(T : ModInt) && (op == "+" || op == "-" || op == "*" || op == "/"))
	{
		auto r = this;
		return r.opOpAssign!op(rhs);
	}
	ModInt opBinary(string op, T)(T rhs) pure nothrow
		if (isIntegral!T && (op == "+" || op == "-" || op == "*" || op == "/"))
	{
		auto r = this;
		return r.opOpAssign!op(rhs);
	}
	ModInt opBinaryRight(string op, T)(T lhs) pure nothrow
		if (isIntegral!T && (op == "+" || op == "-" || op == "*" || op == "/"))
	{
		ModInt r = lhs;
		return r.opOpAssign!op(this);
	}
	// 単項演算子
	ModInt opUnary(string op)() pure nothrow
		if (op == "++" || op == "--")
	{
		static if (op == "++") {
			++val;
			if (val == MOD) val = 0;
		} else static if (op == "--") {
			if (val == 0) val = MOD;
			--val;
		}
		return this;
	}
	ModInt opUnary(string op)() pure const nothrow
		if (op == "-")
	{
		if (val == 0)
			return Mint(0, false);
		else
			return Mint(MOD - val, false);
	}
	// 等号演算子
	bool opEquals(ref const ModInt rhs) @safe pure const nothrow
	{
		return val == rhs.val;
	}
	bool opEquals(T)(const T rhs) @safe pure const nothrow
		if (isIntegral!T)
	{
		return val == rhs;
	}
	// 累乗
	ModInt pow(T)(T n) pure const
		if (isIntegral!T)
	{
		ModInt x = n >= 0 ? this : inv(), r = 1;
		while (n) {
			if (n & 1) r *= x;
			x *= x;
			n >>= 1;
		}
		return r;
	}
	// MODに関する逆元
	ModInt inv() pure const
	{
		long a = val, b = MOD, u = 1, v = 0;
		while (b) {
			long t = a / b;
			a -= t * b; swap(a, b);
			u -= t * v; swap(u, v);
		}
		return ModInt(u);
	}
	string toString() pure nothrow const
	{
		return val.to!string;
	}
	// 連想配列のためのハッシュ
	hash_t toHash() const @safe pure nothrow
	{
		// MMIX by Donald Knuth
		return cast(hash_t)(6_364_136_223_846_793_005L * val + 1_442_695_040_888_963_407L);
	}
}
immutable MOD = 10L ^^ 9 + 7;
alias Mint = ModInt!MOD;
immutable N = 1_000_005;
// MODを法とする階乗とその逆元
Mint[] fact, inv, factInv;
void init()
{
	fact = new Mint[](N + 1), inv = new Mint[](N + 1), factInv = new Mint[](N + 1);
	fact[0] = fact[1] = 1L;
	inv[1] = 1L;
	factInv[0] = factInv[1] = 1L;
	foreach (i; 2L .. N + 1) {
		fact[i] = i * fact[i - 1];
		inv[i] = -inv[MOD % i] * (MOD / i);
		factInv[i] = inv[i] * factInv[i - 1];
	}
}


void main()
{
	init();
	// 入力
	int K = readln.chomp.to!int;
	if (K == 1) {
		writeln(1);
		return;
	}
	auto C = readln.split.to!(long[]);
	// 答えの計算
	long T = C.sum;
	long g = C[0];
	foreach (i; 1 .. K)
		g = gcd(g, C[i]);
	Mint total = 0;
	long[] V;
	for (long i = 1; i * i <= g; i++) {
		if (g % i) continue;
		V ~= T / i;
		if (i * i != g)
			V ~= T / (g / i);
	}
	V.sort;

	auto num = new Mint[](N);
	foreach (i, x; V) {
		num[x] = fact[x];
		foreach (j; 0 .. K)
			num[x] *= factInv[C[j] / (T / x)];
		foreach (j; 0 .. i) if (x % V[j] == 0)
			num[x] -= num[V[j]];
		total += num[x] * Mint(x).inv();
	}
	// 答えの出力
	writeln(total);
}