#include #pragma GCC diagnostic ignored "-Wsign-compare" #pragma GCC diagnostic ignored "-Wsign-conversion" #define NDEBUG using i32 = int32_t; using i64 = int64_t; using u32 = uint32_t; using u64 = uint64_t; using uint = unsigned int; using usize = std::size_t; using ll = long long; using ull = unsigned long long; using ld = long double; template constexpr T popcount(const T u) { return u ? static_cast(__builtin_popcountll(static_cast(u))) : static_cast(0); } template constexpr T log2p1(const T u) { return u ? static_cast(64 - __builtin_clzll(static_cast(u))) : static_cast(0); } template constexpr T msbp1(const T u) { return log2p1(u); } template constexpr T lsbp1(const T u) { return __builtin_ffsll(u); } template constexpr T clog(const T u) { return u ? log2p1(u - 1) : static_cast(u); } template constexpr bool ispow2(const T u) { return u and (static_cast(u) & static_cast(u - 1)) == 0; } template constexpr T ceil2(const T u) { return static_cast(1) << clog(u); } template constexpr T floor2(const T u) { return u == 0 ? static_cast(0) : static_cast(1) << (log2p1(u) - 1); } template constexpr bool btest(const T mask, const usize ind) { return ((static_cast(mask) >> ind) & static_cast(1)); } template constexpr T bcut(const T mask, const usize ind) { return ind == 0 ? static_cast(0) : static_cast((static_cast(mask) << (64 - ind)) >> (64 - ind)); } template bool chmin(T& a, const T& b) { return (a > b ? a = b, true : false); } template bool chmax(T& a, const T& b) { return (a < b ? a = b, true : false); } constexpr unsigned int mod = 1000000007; template constexpr T inf_v = std::numeric_limits::max() / 4; template constexpr Real pi_v = Real{3.141592653589793238462643383279502884}; template T read() { T v; return std::cin >> v, v; } template std::vector read_vec(const std::size_t size) { std::vector v(size); for (auto& e : v) { std::cin >> e; } return v; } template auto read_vals() { return std::tuple...>{read()...}; } #define SHOW(...) static_cast(0) template std::vector make_v(const std::size_t size, T v) { return std::vector(size, v); } template auto make_v(const std::size_t size, Args... args) { return std::vector(size, make_v(args...)); } template std::vector divisors(const T n) { std::vector head, tail; for (T i = 1; i * i <= n; i++) { if (n % i == 0) { head.push_back(i); if (i * i != n) { tail.push_back(n / i); } } } for (auto it = tail.rbegin(); it != tail.rend(); it++) { head.push_back(*it); } return head; } template std::vector> prime_factors(T n) { std::vector> ans; for (T i = 2; i * i <= n; i++) { usize cnt = 0; for (; n % i == 0; n /= i, cnt++) {} if (cnt > 0) { ans.push_back({i, cnt}); } } if (n > 1) { ans.push_back({n, 1}); } return ans; } int main() { const auto n = read(); const auto as = read_vec(n); std::set ds; for (const ll a : as) { for (const ll d : divisors(a)) { ds.insert(d); } } ll ans = 0; for (const ll d : ds) { usize num = 0; for (const ll a : as) { if (a % d == 0) { num++; } } ll sub = (1LL << num) - 1; const auto fs = prime_factors(d); ll moe = fs.size() % 2 == 0 ? 1 : -1; for (const auto& p : fs) { if (p.second > 1) { moe = 0; break; } } ans += moe * sub; } std::cout << ans << std::endl; return 0; }