// #pragma GCC target ("avx") // #pragma GCC optimize("Ofast") // #pragma GCC optimize("unroll-loops") // #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #include using namespace std; // #define int long long // #define endl '\n' #pragma region TEMPLATE /* TYPE */ typedef long long ll; typedef long double ld; typedef pair pii; typedef pair pll; typedef vector vpii; typedef vector vpll; typedef vector vi; typedef vector vl; typedef vector vst; typedef vector vb; typedef vector vld; typedef vector> vvi; template> using prique = priority_queue, Cmp>; template using prique_r = prique>; /* CONSTANT */ #define ln '\n' const int INF = 1 << 30; const ll INFF = 1LL << 60; const string ALPHABET = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; const int MOD = 1e9 + 7; const int MODD = 998244353; const string alphabet = "abcdefghijklmnopqrstuvwxyz"; const double EPS = 1e-9; const ld PI = 3.14159265358979323846264338327950288; const int dx[] = { 1, 0, -1, 0, 1, -1, -1, 1, 0 }; const int dy[] = { 0, 1, 0, -1, -1, -1, 1, 1, 0 }; /* CONTAINER */ #define PB emplace_back #define ALL(v) (v).begin(), (v).end() #define RALL(v) (v).rbegin(), (v).rend() #define SORT(v) sort(ALL(v)) #define RSORT(v) sort(RALL(v)) #define LESS(x, val) (lower_bound(x.begin(), x.end(), val) - x.begin()) #define LEQ(x, val) (upper_bound(x.begin(), x.end(), val) - x.begin()) #define GREATER(x, val) (int)(x).size() - LEQ((x), (val)) #define GEQ(x, val) (int)(x).size() - LESS((x), (val)) #define UNIQUE(v) sort(ALL(v)); (v).erase(unique(ALL(v)), (v).end()) template vector make_v(size_t a) { return vector(a); } template auto make_v(size_t a, Ts... ts) { return vector(ts...))>(a, make_v(ts...)); } template enable_if_t::value != 0> fill_v(U &u, const V... v) { u = U(v...); } template enable_if_t::value == 0> fill_v(U &u, const V... v) { for (auto &e : u) fill_v(e, v...); } /* LOOP */ #define _overload3(_1, _2, _3, name, ...) name #define _REP(i, n) REPI(i, 0, n) #define REPI(i, a, b) for (ll i = (ll)a; i < (ll)b; ++i) #define REP(...) _overload3(__VA_ARGS__, REPI, _REP,)(__VA_ARGS__) #define _RREP(i, n) RREPI(i, n, 0) #define RREPI(i, a, b) for (ll i = (ll)a; i >= (ll)b; --i) #define RREP(...) _overload3(__VA_ARGS__, RREPI, _RREP,)(__VA_ARGS__) #define EACH(e, v) for (auto& e : v) #define PERM(v) sort(ALL(v)); for (bool c##p = true; c##p; c##p = next_permutation(ALL(v))) /* INPUT */ template void SSS(T& t) { cin >> t; } template void SSS(Head&& head, Tail&&... tail) { cin >> head; SSS(tail...); } #define SS(T, ...) T __VA_ARGS__; SSS(__VA_ARGS__); #define SV(T, v, n) vector v(n); for (auto& i : v) cin >> i; #define SVV(T, v, n, m) vector> v(n, vector(m)); for (auto& r : v) for (auto& i : r) cin >> i; /* OUTPUT */ // PROTOTYPE DECLARATION template ostream &operator<<(ostream &os, const pair &j); template ostream &operator<<(ostream &os, const tuple &t); template::value, decltype(declval().begin(), nullptr)> = nullptr> ostream& operator<<(ostream &os, const C &c); template ostream &operator<<(ostream &os, const stack &j); template ostream &operator<<(ostream &os, const queue &j); template ostream &operator<<(ostream &os, const priority_queue &j); // IMPLEMENTATION template ostream &operator<<(ostream &os, const pair &j) { return os << '{' << j.first << ", " << j.second << '}'; } template enable_if_t PRINT_TUPLE(ostream &os, const tuple &t) {} template enable_if_t PRINT_TUPLE(ostream &os, const tuple &t) { os << get(t); if (num + 1 < sizeof...(T)) os << ", "; PRINT_TUPLE(os, t); } template ostream &operator<<(ostream &os, const tuple &t) { PRINT_TUPLE(os << '{', t); return os << '}'; } template::value, decltype(declval().begin(), nullptr)>> ostream& operator<<(ostream &os, const C &c) { os << '{'; for (auto it = begin(c); it != end(c); it++) { if (begin(c) != it) os << ", "; os << *it; } return os << '}'; } template ostream &operator<<(ostream &os, const stack &j) { deque d; for (auto c = j; !c.empty(); c.pop()) d.push_front(c.top()); return os << d; } template ostream &operator<<(ostream &os, const queue &j) { deque d; for (auto c = j; !c.empty(); c.pop()) d.push_back(c.front()); return os << d; } template ostream &operator<<(ostream &os, const priority_queue &j) { deque d; for (auto c = j; !c.empty(); c.pop()) d.push_front(c.top()); return os << d; } // OUTPUT FUNCTION template int PV(T &v) { int sz = v.size(); for (int i = 0; i < sz; ++i) cout << v[i] << " \n"[i == sz - 1]; return 0; } inline int print() { cout << endl; return 0; } template int print(Head&& head){ cout << head; return print(); } template int print(Head&& head, Tail&&... tail) { cout << head << " "; return print(forward(tail)...); } #ifdef LOCAL inline void dump() { cerr << endl; } template void dump(Head&& head) { cerr << head; dump(); } template void dump(Head&& head, Tail&&... tail) { cerr << head << ", "; dump(forward(tail)...); } #define debug(...) do {cerr << __LINE__ << ":\t" << #__VA_ARGS__ << " = "; dump(__VA_ARGS__); } while (false) #else #define dump(...) #define debug(...) #endif /* OTHER */ #define fi first #define se second #define MP make_pair #define MT make_tuple #define tmax(x, y, z) max((x), max((y), (z))) #define tmin(x, y, z) min((x), min((y), (z))) template inline bool between(T x, A a, B b) { return ((a <= x) && (x < b)); } template inline bool chmax(A &a, const B &b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A &a, const B &b) { if (a > b) { a = b; return true; } return false; } inline ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; } inline ll lcm(ll a, ll b) { return a / gcd(a, b) * b; } inline ll POW(ll a, ll b) { ll r = 1; do { if (b & 1) r *= a; a *= a; } while (b >>= 1); return r; } inline ll MOP(ll a, ll b, const ll &m = MOD) { ll r = 1; do { if (b & 1) (r *= a) %= m; (a *= a) %= m; } while (b >>= 1); return r; } struct abracadabra { abracadabra() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); cerr << fixed << setprecision(5); }; } ABRACADABRA; #pragma endregion template struct SegmentTree { using F = function< T(T, T) >; vector< T > seg; int size; // データの数以上の最小の2冪, 最下段のデータの個数 const F func; const T M1; SegmentTree(int n, const F f, const T &M) : func(f), M1(M) { size = 1; while (size < n) size <<= 1; seg.resize(2 * size - 1, M1); } void set(int k, T x) { seg[k + size - 1] = x; } void build() { for (int i = size - 2; i >= 0; --i) { // iの子は, (2 * i + 1, 2 * i + 2) seg[i] = func(seg[2 * i + 1], seg[2 * i + 2]); } } void update(int k, T x) { // kをseg内の添字に対応させる <- (size - 1)を足す k += size - 1; seg[k] = x; while (k > 0) { k = (k - 1) / 2; seg[k] = func(seg[2 * k + 1], seg[2 * k + 2]); } } void add(int k, T x) { // kをseg内の添字に対応させる <- (size - 1)を足す k += size - 1; seg[k] += x; while (k > 0) { k = (k - 1) / 2; seg[k] = func(seg[2 * k + 1], seg[2 * k + 2]); } } T query(int a, int b, int k = 0, int l = 0, int r = -1) { if (r < 0) r = size; if (r <= a || l >= b) return M1; if (l >= a && r <= b) return seg[k]; T f_l = query(a, b, 2 * k + 1, l, (l + r) / 2); T f_r = query(a, b, 2 * k + 2, (l + r) / 2, r); return func(f_l, f_r); } void print() { for (int i = 0; i < 2 * size - 1; ++i) { cerr << seg[i] << " "; if (!((i + 2) & (i + 1))) cerr << endl; } } }; /* ・セグメント木 > build O(N) > query, update O(logN) [備考] 結合律, 単位元を持つ二項演算を, 任意の区間に関してlogNで行うデータ構造 [使用例] SegmentTree seg(N, [](int a, int b){ return a + b; }, 0 ); // 区間和 SegmentTree seg(N, [](int a, int b){ return min(a,b); }, INF); // 区間min seg.set(k, x); // 要素kに値xを設定 seg.build(); // 上のセグメントに値を設定 seg.update(k, x); // 要素kを値xに変更 seg.add(k, x); // 要素kに値xを加算 seg.query(l, r); // 半開区間[l, r)に対する二項演算の結果を返す */ signed main() { SS(int, N); SV(ll, A, N); SegmentTree seg(N, [](ll a, ll b){ return gcd(a, b); }, 0); REP(i, N) seg.set(i, A[i]); seg.build(); ll res = 0; auto check = [&](int l, int mid) -> bool { return seg.query(l, mid) == 1LL; }; for (int l = 0; l < N; ++l) { if (seg.query(l, N) != 1) continue; int ok = N, ng = l; while (abs(ok - ng) > 1) { int mid = (ok + ng) >> 1; (check(l, mid) ? ok : ng) = mid; } res += N + 1 - ok; } print(res); }