#include #include typedef long long int ll; using namespace std; typedef pair P; using namespace atcoder; template using min_priority_queue = priority_queue, greater>; #define USE998244353 #ifdef USE998244353 const ll MOD = 998244353; using mint = modint998244353; #else const ll MOD = 1000000007; using mint = modint1000000007; #endif const int MAX = 2000005; long long fac[MAX], finv[MAX], inv[MAX]; void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++){ fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD%i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } long long COM(int n, int k){ if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } ll gcd(ll x, ll y) { if (y == 0) return x; else if (y > x) { return gcd (y, x); } else return gcd(x % y, y); } ll lcm(ll x, ll y) { return x / gcd(x, y) * y; } ll my_sqrt(ll x) { // ll m = 0; ll M = 3000000001; while (M - m > 1) { ll now = (M + m) / 2; if (now * now <= x) { m = now; } else { M = now; } } return m; } ll keta(ll num, ll arity) { ll ret = 0; while (num) { num /= arity; ret++; } return ret; } ll ceil(ll n, ll m) { // n > 0, m > 0 ll ret = n / m; if (n % m) ret++; return ret; } ll pow_ll(ll x, ll n) { if (n == 0) return 1; if (n % 2) { return pow_ll(x, n - 1) * x; } else { ll tmp = pow_ll(x, n / 2); return tmp * tmp; } } vector compress(vector& v) { // [3 5 5 6 1 1 10 1] -> [1 2 2 3 0 0 4 0] vector u = v; sort(u.begin(), u.end()); u.erase(unique(u.begin(),u.end()),u.end()); map mp; for (int i = 0; i < u.size(); i++) { mp[u[i]] = i; } for (int i = 0; i < v.size(); i++) { v[i] = mp[v[i]]; } return v; } template vector smallest_prime_factors(T n) { vector spf(n + 1); for (int i = 0; i <= n; i++) spf[i] = i; for (T i = 2; i * i <= n; i++) { // 素数だったら if (spf[i] == i) { for (T j = i * i; j <= n; j += i) { // iを持つ整数かつまだ素数が決まっていないなら if (spf[j] == j) { spf[j] = i; } } } } return spf; } vector relatedP(int a, vector& spf) { vector ret; while (a > 1) { int div = spf[a]; while (a % div == 0) { a /= div; } ret.push_back(div); } return ret; } int main() { int n; cin >> n; vector a(n); for (int i = 0; i < n; i++) cin >> a[i]; vector ans(n, 0); const int MA = 1000000; vector sumOfMultiple(MA + 1, 0); vector spf = smallest_prime_factors(MA); for (int i = 0; i < n; i++) { vector relatedPrimes = relatedP(a[i], spf); const int NUM = relatedPrimes.size(); ans[i] = 1; for (int j = 1; j < (1 << NUM); j++) { int cnt = 0; int val = 1; for (int k = 0; k < NUM; k++) { if ((j >> k) & 1) { cnt++; val *= relatedPrimes[k]; } } if (cnt % 2) ans[i] += sumOfMultiple[val]; else ans[i] -= sumOfMultiple[val]; } for (int j = 1; j < (1 << NUM); j++) { int val = 1; for (int k = 0; k < NUM; k++) { if ((j >> k) & 1) { val *= relatedPrimes[k]; } } sumOfMultiple[val] += ans[i]; } // cout << " i is " << i << " ans is " << ans[i].val() << endl; } mint ANS = 0; for (auto x : ans) { ANS += x; } cout << ANS.val() << endl; return 0; }