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#include <chrono>
#include <cassert>
#include <string>
#include <array>
#include <deque>
#include <map>
#include <queue>
#include <set>
#include <unordered_map>
#include <unordered_set>
#include <vector>
#include <iterator>
#include <algorithm>
#include <cmath>
#include <complex>
#include <numeric>
#include <random>
#include <ios>
#include <iostream>
#include <bitset>
using namespace std; 

#define fwd(i, a, b) for (int i = (a); i < (b); ++ i)
#define rep(i, n) for (int i = 0; i < (n); ++ i)
#define all(x) (x).begin(), (x).end()
#define sz(x) ((int)x.size())
#define st first
#define nd second
#define pii pair<int, int>
#define vi vector<int>
#define fastio ios_base::sync_with_stdio(false),cin.tie(0),cout.tie(0)
#define ll long long

#ifdef LOCAL
template<typename Stream, typename T1, typename T2>
Stream& operator << (Stream& out, pair<T1, T2> a) {return out << "(" << a.st << ", " << a.nd << ")";}
 
template<typename Stream, typename T>
Stream &operator << (Stream& out, T v) {
	out << "{";
	int i = 0;
	for (auto x : v)
		out << x << ((++ i) != sz(v) ? ", " : "");
	return out << "}";
}

template<typename... Args>
void dump(Args... x) {((cerr << x << ", "), ...) << '\n';}
 
#define debug(x...) cerr << "[" #x "]: ", dump(x)
#else
#define debug(...) 0
#endif

const ll mod = 1000 * 1000 * 1000 + 7;

int32_t main() {
	fastio;
	int n;
	cin >> n;
	vector<vector<ll> > a(n, vector<ll>(n, 0));
	vi b(n);
	rep(i, n)
		cin >> b[i];
	rep(i, n)
		rep(j, i) {
			int g = gcd(b[i], b[j]);
			a[i][i] += g;
			a[j][j] += g;
			a[i][j] = a[j][i] = mod - g;
		}
	-- n;
	ll ans = 1;
	rep(i, n) {
		fwd(j, i + 1, n) {
			while (a[j][i] != 0) {
				ll t = a[i][i] / a[j][i];
				if (t) fwd(k, i, n)
					a[i][k] = (a[i][k] - a[j][k] * t) % mod;
				swap(a[i], a[j]);
				ans *= -1;
			}
		}
		ans = ans * a[i][i] % mod;
		if (!ans) {
			cout << "0\n";
			return 0;
		}
	}
	cout << (ans + mod) % mod << '\n';
	return 0;
}