#pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; //#define int long long typedef long long ll; typedef unsigned long long ul; typedef unsigned int ui; //ll mod = 1; //constexpr ll mod = 998244353; constexpr ll mod = 1000000007; const int mod17 = 1000000007; const ll INF = mod * mod; typedef pairP; #define rep(i,n) for(int i=0;i=0;i--) #define Rep(i,sta,n) for(int i=sta;i=1;i--) #define Rep1(i,sta,n) for(int i=sta;i<=n;i++) #define all(v) (v).begin(),(v).end() typedef pair LP; using ld = long double; typedef pair LDP; const ld eps = 1e-10; const ld pi = acosl(-1.0); template void chmin(T& a, T b) { a = min(a, b); } template void chmax(T& a, T b) { a = max(a, b); } template vector vmerge(vector& a, vector& b) { vector res; int ida = 0, idb = 0; while (ida < a.size() || idb < b.size()) { if (idb == b.size()) { res.push_back(a[ida]); ida++; } else if (ida == a.size()) { res.push_back(b[idb]); idb++; } else { if (a[ida] < b[idb]) { res.push_back(a[ida]); ida++; } else { res.push_back(b[idb]); idb++; } } } return res; } template void cinarray(vector& v) { rep(i, v.size())cin >> v[i]; } template void coutarray(vector& v) { rep(i, v.size()) { if (i > 0)cout << " "; cout << v[i]; } cout << "\n"; } ll mod_pow(ll x, ll n, ll m = mod) { if (n < 0) { ll res = mod_pow(x, -n, m); return mod_pow(res, m - 2, m); } if (abs(x) >= m)x %= m; if (x < 0)x += m; //if (x == 0)return 0; ll res = 1; while (n) { if (n & 1)res = res * x % m; x = x * x % m; n >>= 1; } return res; } //mod should be <2^31 struct modint { int n; modint() :n(0) { ; } modint(ll m) { if (m < 0 || mod <= m) { m %= mod; if (m < 0)m += mod; } n = m; } operator int() { return n; } }; bool operator==(modint a, modint b) { return a.n == b.n; } bool operator<(modint a, modint b) { return a.n < b.n; } modint operator+=(modint& a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= (int)mod; return a; } modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += (int)mod; return a; } modint operator*=(modint& a, modint b) { a.n = ((ll)a.n * b.n) % mod; return a; } modint operator+(modint a, modint b) { return a += b; } modint operator-(modint a, modint b) { return a -= b; } modint operator*(modint a, modint b) { return a *= b; } modint operator^(modint a, ll n) { if (n == 0)return modint(1); modint res = (a * a) ^ (n / 2); if (n % 2)res = res * a; return res; } ll inv(ll a, ll p) { return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p); } modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); } modint operator/=(modint& a, modint b) { a = a / b; return a; } const int max_n = 1 << 20; modint fact[max_n], factinv[max_n]; void init_f() { fact[0] = modint(1); for (int i = 0; i < max_n - 1; i++) { fact[i + 1] = fact[i] * modint(i + 1); } factinv[max_n - 1] = modint(1) / fact[max_n - 1]; for (int i = max_n - 2; i >= 0; i--) { factinv[i] = factinv[i + 1] * modint(i + 1); } } modint comb(int a, int b) { if (a < 0 || b < 0 || a < b)return 0; return fact[a] * factinv[b] * factinv[a - b]; } modint combP(int a, int b) { if (a < 0 || b < 0 || a < b)return 0; return fact[a] * factinv[a - b]; } ll gcd(ll a, ll b) { a = abs(a); b = abs(b); if (a < b)swap(a, b); while (b) { ll r = a % b; a = b; b = r; } return a; } template void addv(vector& v, int loc, T val) { if (loc >= v.size())v.resize(loc + 1, 0); v[loc] += val; } /*const int mn = 2000005; bool isp[mn]; vector ps; void init() { fill(isp + 2, isp + mn, true); for (int i = 2; i < mn; i++) { if (!isp[i])continue; ps.push_back(i); for (int j = 2 * i; j < mn; j += i) { isp[j] = false; } } }*/ //[,val) template auto prev_itr(set& st, T val) { auto res = st.lower_bound(val); if (res == st.begin())return st.end(); res--; return res; } //[val,) template auto next_itr(set& st, T val) { auto res = st.lower_bound(val); return res; } using mP = pair; mP operator+(mP a, mP b) { return { a.first + b.first,a.second + b.second }; } mP operator+=(mP& a, mP b) { a = a + b; return a; } mP operator-(mP a, mP b) { return { a.first - b.first,a.second - b.second }; } mP operator-=(mP& a, mP b) { a = a - b; return a; } LP operator+(LP a, LP b) { return { a.first + b.first,a.second + b.second }; } LP operator+=(LP& a, LP b) { a = a + b; return a; } LP operator-(LP a, LP b) { return { a.first - b.first,a.second - b.second }; } LP operator-=(LP& a, LP b) { a = a - b; return a; } mt19937 mt(time(0)); const string drul = "DRUL"; string senw = "SENW"; //DRUL,or SENW //int dx[4] = { 1,0,-1,0 }; //int dy[4] = { 0,1,0,-1 }; //----------------------------------------- const int sz = (1 << 17); struct Data { ll sum; int ma; int l; }; Data f(Data a, Data b) { Data res; res.sum = a.sum + b.sum; res.ma = max(a.ma, b.ma); int g = gcd(a.l, b.l); ll val = (ll)(a.l / g) * b.l; chmin(val, (ll)mod17); res.l = val; return res; } int lazy[2 * sz - 1]; Data node[2 * sz - 1]; void eval(int k, int l, int r) { if (lazy[k] < 0)return; node[k].sum = (ll)(r - l) * lazy[k]; node[k].ma = lazy[k]; node[k].l = lazy[k]; if (k < sz - 1) { lazy[2 * k + 1] = lazy[k]; lazy[2 * k + 2] = lazy[k]; } lazy[k] = -1; } void update(int x,int a,int b,int k=0,int l=0, int r=sz) { eval(k, l, r); if (r <= a || b <= l)return; if (a <= l && r <= b) { lazy[k] = x; eval(k,l,r); } else { update(x, a, b, 2 * k + 1, l, (l + r) / 2); update(x, a, b, 2 * k + 2, (l + r) / 2, r); node[k] = f(node[2 * k + 1], node[2 * k + 2]); } } void updgcd(int x, int a, int b, int k = 0, int l = 0, int r = sz) { eval(k, l, r); if (r <= a || b <= l)return; if (a <= l && r <= b) { if (x % node[k].l == 0) { return; } else { if ((ll)node[k].ma * (r - l) == node[k].sum) { int g = gcd(x,node[k].ma); lazy[k] = g; eval(k, l, r); } else { updgcd(x, a, b, 2 * k + 1, l, (l + r) / 2); updgcd(x, a, b, 2 * k + 2, (l + r) / 2, r); node[k] = f(node[2 * k + 1], node[2 * k + 2]); } } } else { updgcd(x, a, b, 2 * k + 1, l, (l + r) / 2); updgcd(x, a, b, 2 * k + 2, (l + r) / 2, r); node[k] = f(node[2 * k + 1], node[2 * k + 2]); } } Data query(int a, int b, int k = 0, int l = 0, int r = sz) { eval(k, l, r); if (r <= a || b <= l)return { 0,0,1 }; if (a <= l && r <= b) { return node[k]; } else { Data dl=query(a, b, 2 * k + 1, l, (l + r) / 2); Data dr=query(a, b, 2 * k + 2, (l + r) / 2, r); return f(dl, dr); } } void solve(){ int n, q; cin >> n >> q; vector a(n); rep(i, n)cin >> a[i]; rep(i, 2 * sz - 1) { lazy[i] = -1; node[i] = { 0,0,1 }; } rep(i, n) { update(a[i], i, i + 1); } rep(i, q) { int typ; cin >> typ; if (typ == 1) { int l, r, x; cin >> l >> r >> x; l--; update(x, l, r); } else if (typ == 2) { int l, r, x; cin >> l >> r >> x; l--; updgcd(x, l, r); } else if (typ == 3) { int l, r; cin >> l >> r; l--; Data d = query(l, r); cout << d.ma << "\n"; } else { int l, r; cin >> l >> r; l--; Data d = query(l, r); cout << d.sum << "\n"; } } } signed main() { ios::sync_with_stdio(false); cin.tie(0); //cout << fixed << setprecision(12); //init_f(); //init(); //while(true) //expr(); //int t; cin >> t; rep(i, t) solve(); return 0; }