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#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
#ifdef LOC
#include "debuglib.h"
#else
#define deb(...)
#define DBP(...)
#endif
using namespace std;
using   ll         = long long;
using   vi         = vector<int>;
using   pii        = pair<int, int>;
#define pb           push_back
#define mp           make_pair
#define x            first
#define y            second
#define rep(i, b, e) for (int i = (b); i < (e); i++)
#define each(a, x)   for (auto& a : (x))
#define all(x)       (x).begin(), (x).end()
#define sz(x)        int((x).size())

constexpr int MOD = 1e9+7;
constexpr int DIM = 4096;
constexpr int BLOCK = 8;

ll modInv(ll a, ll m = MOD) {
	if (a == 1) return 1;
	return ((a - modInv(m%a, a))*m + 1) / a;
}

int M[DIM][DIM];
int transposed[DIM][BLOCK];
ll mults[DIM][BLOCK];

ll det(int n) {
	ll ret = 1;
	int i = 0;

	for (; i+BLOCK <= n; i += BLOCK) {
		int cut = i+BLOCK;

		rep(t, 0, BLOCK) {
			rep(j, i, n) if (M[j][i]) {
				if (i != j) {
					swap(M[i], M[j]);
					swap(mults[i], mults[j]);
					ret *= -1;
				}
				break;
			}

			if (!M[i][i]) {
				return 0;
			}

			if (M[i][i] < 0) {
				M[i][i] += MOD;
			}

			ll inv = modInv(M[i][i]);
			ret = ret * M[i][i] % MOD;

			rep(j, i+1, n) {
				ll mult = M[j][i] * inv % MOD;
				mults[j][t] = int(mult);
				rep(k, i, cut) {
					M[j][k] = int((M[j][k] - M[i][k]*mult) % MOD);
				}
			}

			rep(j, t, BLOCK) {
				mults[i][j] = 0;
			}
			i++;
		}

		i -= BLOCK;
		rep(s, 0, n) {
			transposed[s][0] = M[i][s];
		}

		rep(j, i+1, n) {
			int k = cut;

			for (; k+2 <= n; k += 2) {
				ll v0 = M[j][k], v1 = M[j][k+1];
				rep(t, 0, BLOCK) {
					v0 -= transposed[k][t] * mults[j][t];
					v1 -= transposed[k+1][t] * mults[j][t];
				}
				M[j][k] = int(v0 % MOD);
				M[j][k+1] = int(v1 % MOD);
			}

			for (; k < n; k++) {
				ll val = M[j][k];
				rep(t, 0, BLOCK) {
					val -= transposed[k][t] * mults[j][t];
				}
				M[j][k] = int(val % MOD);
			}

			if (j < i+BLOCK) {
				rep(s, 0, n) {
					transposed[s][j-i] = M[j][s];
				}
			}
		}
	}

	for (; i < n; i++) {
		rep(j, i, n) if (M[j][i]) {
			if (i != j) {
				swap(M[i], M[j]);
				ret *= -1;
			}
			break;
		}

		if (!M[i][i]) {
			return 0;
		}

		if (M[i][i] < 0) {
			M[i][i] += MOD;
		}

		ll inv = modInv(M[i][i]);
		ret = ret * M[i][i] % MOD;

		rep(j, i+1, n) {
			ll mult = M[j][i] * inv % MOD;
			rep(k, i, n) {
				M[j][k] = int((M[j][k] - M[i][k]*mult) % MOD);
			}
		}
	}

	ret %= MOD;
	if (ret < 0) ret += MOD;
	return ret;
}

void run() {
	int n; cin >> n;
	vi elems(n);
	each(e, elems) cin >> e;

	rep(i, 0, n-1) {
		rep(j, i+1, n-1) {
			M[i][j] = M[j][i] = -__gcd(elems[i], elems[j]);
			M[i][i] -= M[i][j];
			M[j][j] -= M[i][j];
		}
		M[i][i] += __gcd(elems[i], elems[n-1]);
	}

	cout << det(n-1) << '\n';
}

int main() {
	cin.sync_with_stdio(0); cin.tie(0);
	cout << fixed << setprecision(10);
	run();
	cout << flush; _Exit(0);
}