package hackerearth.easy2009; import java.io.ByteArrayInputStream; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.util.Arrays; import java.util.InputMismatchException; class D3 { InputStream is; PrintWriter out; String INPUT = ""; void solve() { int n = ni(), m = ni(); int[] a = na(n); SegmentTreeRGcdizeRUpdateRMaxQRSQ st = new SegmentTreeRGcdizeRUpdateRMaxQRSQ(a); for(int z = 0;z < m;z++){ int t = ni(); if(t == 1){ int l = ni()-1; int r = ni()-1; int x = ni(); st.update(l, r+1, x); }else if(t == 2){ int l = ni()-1; int r = ni()-1; int x = ni(); st.gcdize(l, r+1, x); }else if(t == 3){ int l = ni()-1; int r = ni()-1; out.println(st.max(l, r+1)); }else{ int l = ni()-1; int r = ni()-1; out.println(st.sum(l, r+1)); } /* tr(st.lcms); tr(st.covers); tr(st.sums); */ } } void update(int c, int[] rep, int[] b, int[] a, int S, int[] maxs, long[] sums) { if(rep[c] != 0){ int len = Math.min(S, a.length - S*c); maxs[c] = rep[c]; sums[c] = (long)rep[c] * len; }else{ maxs[c] = 0; sums[c] = 0; int to = Math.min(S*c+S, a.length); for(int i = S*c;i < to;i++){ int h = gcd(a[i], b[c]); maxs[c] = Math.max(maxs[c], h); sums[c] += h; } } } public static int gcd(int a, int b) { if(a == 0)return b; if(b == 0)return a; int ashift = Integer.numberOfTrailingZeros(a); int bshift = Integer.numberOfTrailingZeros(b); a >>>= ashift; b >>>= bshift; while(b != a){ if(a > b){ int t = a; a = b; b = t; } b -= a; b >>>= Integer.numberOfTrailingZeros(b); } return a<>>1; maxs = new int[M]; sums = new long[M]; lcms = new long[M]; covers = new int[M]; for(int i = 0;i < N;i++){ sums[H+i] = lcms[H+i] = maxs[H+i] = covers[H+i] = a[i]; } for(int i = H-1;i >= 1;i--)propagate(i); } private void propagate(int cur) { if(cur >= H){ lcms[cur] = sums[cur] = maxs[cur] = covers[cur]; }else{ int L = 2*cur, R = 2*cur+1; if(covers[cur] == 0){ lcms[cur] = lcm(lcms[L], lcms[R]); maxs[cur] = Math.max(maxs[L], maxs[R]); sums[cur] = sums[L] + sums[R]; }else{ int len = H/Integer.highestOneBit(cur); lcms[cur] = covers[cur]; maxs[cur] = covers[cur]; sums[cur] = covers[cur] * len; } } } private long lcm(long a, long b) { if(a >= I || b >= I)return I; if(a == 0)return b; if(b == 0)return a; long ad = a / gcd(a, b); if((double)ad * b >= I)return I; return ad*b; } public static long gcd(long a, long b) { while (b > 0) { long c = a; a = b; b = c % b; } return a; } public static int gcd(int a, int b) { while (b > 0) { int c = a; a = b; b = c % b; } return a; } public void gcdize(int l, int r, int v) { gcdize(l, r, v, 0, H, 1); } void push(int cur) { if(cur < H && covers[cur] != 0){ // push for(int i = 2*cur;i <= 2*cur+1;i++){ covers[i] = covers[cur]; propagate(i); } covers[cur] = 0; } } boolean allsame(int cur) { return maxs[cur] * (H/Integer.highestOneBit(cur)) == sums[cur]; } protected void gcdize(int l, int r, int v, int cl, int cr, int cur) { if(v % lcms[cur] == 0){ // not need to dig further return; } if(l <= cl && cr <= r){ if(allsame(cur)){ // all nodes have same value update(l, r, gcd(v, maxs[cur]), cl, cr, cur); return; } } push(cur); int mid = cl+cr>>>1; if(cl < r && l < mid)gcdize(l, r, v, cl, mid, 2*cur); if(mid < r && l < cr)gcdize(l, r, v, mid, cr, 2*cur+1); propagate(cur); } public void update(int l, int r, int v) { update(l, r, v, 0, H, 1); } protected void update(int l, int r, int v, int cl, int cr, int cur) { if(l <= cl && cr <= r){ covers[cur] = v; propagate(cur); return; } push(cur); int mid = cl+cr>>>1; if(cl < r && l < mid)update(l, r, v, cl, mid, 2*cur); if(mid < r && l < cr)update(l, r, v, mid, cr, 2*cur+1); propagate(cur); } public long sum(int l, int r) { return sum(l, r, 0, H, 1); } protected long sum(int l, int r, int cl, int cr, int cur) { if(l <= cl && cr <= r){ return sums[cur]; } push(cur); long ret = 0; int mid = cl+cr>>>1; if(cl < r && l < mid)ret += sum(l, r, cl, mid, 2*cur); if(mid < r && l < cr)ret += sum(l, r, mid, cr, 2*cur+1); return ret; } public int max(int l, int r) { return max(l, r, 0, H, 1); } protected int max(int l, int r, int cl, int cr, int cur) { if(l <= cl && cr <= r){ return maxs[cur]; } push(cur); int ret = 0; int mid = cl+cr>>>1; if(cl < r && l < mid)ret = Math.max(ret, max(l, r, cl, mid, 2*cur)); if(mid < r && l < cr)ret = Math.max(ret, max(l, r, mid, cr, 2*cur+1)); return ret; } } void run() throws Exception { is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes()); out = new PrintWriter(System.out); long s = System.currentTimeMillis(); solve(); out.flush(); if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); } public static void main(String[] args) throws Exception { new D3().run(); } private byte[] inbuf = new byte[1024]; public int lenbuf = 0, ptrbuf = 0; private int readByte() { if(lenbuf == -1)throw new InputMismatchException(); if(ptrbuf >= lenbuf){ ptrbuf = 0; try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); } if(lenbuf <= 0)return -1; } return inbuf[ptrbuf++]; } private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); } private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; } private double nd() { return Double.parseDouble(ns()); } private char nc() { return (char)skip(); } private String ns() { int b = skip(); StringBuilder sb = new StringBuilder(); while(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ') sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } private char[] ns(int n) { char[] buf = new char[n]; int b = skip(), p = 0; while(p < n && !(isSpaceChar(b))){ buf[p++] = (char)b; b = readByte(); } return n == p ? buf : Arrays.copyOf(buf, p); } private char[][] nm(int n, int m) { char[][] map = new char[n][]; for(int i = 0;i < n;i++)map[i] = ns(m); return map; } private int[] na(int n) { int[] a = new int[n]; for(int i = 0;i < n;i++)a[i] = ni(); return a; } private int ni() { int num = 0, b; boolean minus = false; while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')); if(b == '-'){ minus = true; b = readByte(); } while(true){ if(b >= '0' && b <= '9'){ num = num * 10 + (b - '0'); }else{ return minus ? -num : num; } b = readByte(); } } private long nl() { long num = 0; int b; boolean minus = false; while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')); if(b == '-'){ minus = true; b = readByte(); } while(true){ if(b >= '0' && b <= '9'){ num = num * 10 + (b - '0'); }else{ return minus ? -num : num; } b = readByte(); } } private static void tr(Object... o) { System.out.println(Arrays.deepToString(o)); } }