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#include <bits/stdc++.h>
using namespace std;

template<class c> struct rge { c b, e; };
template<class c> rge<c> range(c i, c j) { return rge<c>{i, j}; }
template<class c> auto dud(c* x) -> decltype(cerr << *x, 0);
template<class c> char dud(...);

struct debug {
	~debug() {
		cerr << endl;
	}
	
	template<class c> typename \
	enable_if<sizeof dud<c>(0) != 1, debug&>::type operator<<(c i) {
		cerr << boolalpha << i;
		return *this;
	}
	
	template<class c> typename \
	enable_if<sizeof dud<c>(0) == 1, debug&>::type operator<<(c i) {
		return *this << range(begin(i), end(i));
	}
	
	template<class c, class b> debug & operator <<(pair<b, c> d) {
		return *this << "(" << d.first << ", " << d.second << ")";
	}
	
	template<class c> debug & operator <<(rge<c> d) {
		*this << "[";
		for(auto it = d.b; it != d.e; ++it) {
			*this << ", " + 2 * (it == d.b) << *it;
		}
		return *this << "]";
	}
};
#define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] "

// This modnum class was not created by me. However, I do not remember where I
// found this code, since it was a long time ago.
template <int MOD_> struct modnum {
	static constexpr int MOD = MOD_;
	static_assert(MOD_ > 0, "MOD must be positive");
	
private:
	using ll = long long;
	
	int v;
	
	static int minv(int a, int m) {
		a %= m;
		assert(a);
		return a == 1 ? 1 : int(m - ll(minv(m, a)) * ll(m) / a);
	}
	
public:
	
	modnum() : v(0) {}
	modnum(ll v_) : v(int(v_ % MOD)) { if (v < 0) v += MOD; }
	explicit operator int() const { return v; }
	friend std::ostream& operator << (std::ostream& out, const modnum& n) { return out << int(n); }
	friend std::istream& operator >> (std::istream& in, modnum& n) { ll v_; in >> v_; n = modnum(v_); return in; }
	
	friend bool operator == (const modnum& a, const modnum& b) { return a.v == b.v; }
	friend bool operator != (const modnum& a, const modnum& b) { return a.v != b.v; }
	
	modnum inv() const {
		modnum res;
		res.v = minv(v, MOD);
		return res;
	}
	friend modnum inv(const modnum& m) { return m.inv(); }
	modnum neg() const {
		modnum res;
		res.v = v ? MOD-v : 0;
		return res;
	}
	friend modnum neg(const modnum& m) { return m.neg(); }
	
	modnum operator- () const {
		return neg();
	}
	modnum operator+ () const {
		return modnum(*this);
	}
	
	modnum& operator ++ () {
		v ++;
		if (v == MOD) v = 0;
		return *this;
	}
	modnum& operator -- () {
		if (v == 0) v = MOD;
		v --;
		return *this;
	}
	modnum& operator += (const modnum& o) {
		v += o.v;
		if (v >= MOD) v -= MOD;
		return *this;
	}
	modnum& operator -= (const modnum& o) {
		v -= o.v;
		if (v < 0) v += MOD;
		return *this;
	}
	modnum& operator *= (const modnum& o) {
		v = int(ll(v) * ll(o.v) % MOD);
		return *this;
	}
	modnum& operator /= (const modnum& o) {
		return *this *= o.inv();
	}
	
	friend modnum operator ++ (modnum& a, int) { modnum r = a; ++a; return r; }
	friend modnum operator -- (modnum& a, int) { modnum r = a; --a; return r; }
	friend modnum operator + (const modnum& a, const modnum& b) { return modnum(a) += b; }
	friend modnum operator - (const modnum& a, const modnum& b) { return modnum(a) -= b; }
	friend modnum operator * (const modnum& a, const modnum& b) { return modnum(a) *= b; }
	friend modnum operator / (const modnum& a, const modnum& b) { return modnum(a) /= b; }
};

template <typename T> T pow(T a, long long b) {
	assert(b >= 0);
	T r = 1; while (b) { if (b & 1) r *= a; b >>= 1; a *= a; } return r;
}

constexpr int MOD = 1'000'000'007;
constexpr int MAXN = 5'007;

int a[MAXN];
modnum<MOD> laplacian[MAXN][MAXN];

int main() {
	ios_base::sync_with_stdio(false);
	cin.tie(nullptr);
	
	int n;
	cin >> n;
	
	for (int i = 0; i < n; i++) {
		cin >> a[i];
	}
	
	for (int u = 0; u < n; u++) {
		for (int v = u + 1; v < n; v++) {
			int gcd = __gcd(a[u], a[v]);
			laplacian[u][u] += gcd;
			laplacian[v][v] += gcd;
			laplacian[u][v] -= gcd;
			laplacian[v][u] -= gcd;
		}
	}
	
	modnum<MOD> det = 1;
	for(int col = 0; col < n - 1; ++col) {
		int select = col;
		for(int row = col + 1; row < n - 1; ++row) {
			if(laplacian[row][col] != 0) {
				select = row;
				break;
			}
		}
		
		if(laplacian[select][col] == 0) {
			det = 0;
			break;
		}
		
		swap(laplacian[col], laplacian[select]);
		
		if(select != col) {
			det = -det;
		}
		det *= laplacian[col][col];
		
		for(int i = col + 1; i < n - 1; ++i) {
			laplacian[col][i] /= laplacian[col][col];
		}
		for(int row = 0; row < n - 1; ++row) {
			if(row != col && laplacian[row][col] != 0) {
				for(int i = col + 1; i < n - 1; ++i) {
					laplacian[row][i] -= laplacian[col][i] * laplacian[row][col];
				}
			}
		}
	}
	
	cout << det << '\n';
	
	return 0;
}