This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
#define lf double
#define ll long long
#define ull unsigned ll
#define ii pair<int,int>
#define li pair<ll,int>
#define iii pair<ii,int>
#define iiii pair<ii,ii>
#define iiii2 pair<int,iii>
#define lii pair<ll,ii>
#define lolo pair<ll,ll>
#define heap priority_queue
#define mp make_pair
#define st first
#define nd second
#define pb push_back
#define pf push_front
#define ppb pop_back
#define ppf pop_front
#define all(x) x.begin(),x.end()
#define len(x) strlen(x)
#define sz(x) (int) x.size()
#define orta ((bas+son)/2)
#define min3(x,y,z) min(min(x,y),z)
#define max3(x,y,z) max(max(x,y),z)
#define umin(x,y) x=min(x,y)
#define umax(x,y) x=max(x,y)
#define dbgs(x) cerr<<(#x)<<" --> "<<(x)<<" "
#define dbg(x) cerr<<(#x)<<" --> "<<(x)<<endl;getchar()
#define MOD 1000000007
#define inf 1000000001
#define N 100005
#define LOG 20
#define magic 100
#define MAX 1000005
#define KOK 350
#define EPS 0.000000000001
#define pw(x) 1ll*((1ll)<<(x))
#define PI 3.1415926535
using namespace std;
int flag=0;
struct SEG {
	int bas,son;
	ll result;
	int szpre,szsuf;
	vector<ii> pre,suf;
} S[N*4];
int n,q,t,x,y,a[N];
SEG merge(SEG A,SEG B) {
	SEG res;
	res.bas=A.bas;
	res.son=B.son;
	res.result=A.result+B.result;
	int last=-1;
	int now=sz(A.suf)-1;
	int totszB=0;
	
	while(now+1) {
		ii suf_el=A.suf[now];
		now--;
		while(last+1<sz(B.pre) && __gcd(suf_el.st,B.pre[last+1].st)>1) totszB+=B.pre[last+1].nd,last++;
		res.result+=1ll*suf_el.nd*totszB;
	}
	if(A.szpre==A.son-A.bas+1) {
		int last=-1;
		while(last+1<sz(B.pre) && __gcd(A.pre.back().st,B.pre[last+1].st)>1) {
			int tut=__gcd(A.pre.back().st,B.pre[last+1].st);
			last++;
			if(tut==A.pre.back().st) {
				A.pre.back().nd+=B.pre[last].nd;
			}
			else {
				A.pre.pb({tut,B.pre[last].nd});
			}
		}
	}
	if(B.szsuf==B.son-B.bas+1) {
		int last=-1;
		while(last+1<sz(A.suf) && __gcd(B.suf.back().st,A.suf[last+1].st)>1) {
			int tut=__gcd(B.suf.back().st,A.suf[last+1].st);
			last++;
			if(tut==B.suf.back().st) {
				B.suf.back().nd+=A.suf[last].nd;
			}
			else {
				B.suf.pb({tut,A.suf[last].nd});
			}
		}
	}
	res.pre=A.pre;
	res.suf=B.suf;
	res.szpre=res.szsuf=0;
	for(auto x:res.pre) res.szpre+=x.nd;
	for(auto x:res.suf) res.szsuf+=x.nd;
	return res;
}
SEG get(int node,int bas,int son,int x,int y) {
	if(bas>=x && son<=y) return S[node];
	if(orta>=x) {
		if(orta+1<=y) {
			return merge(get(node*2,bas,orta,x,y),get(node*2+1,orta+1,son,x,y));
		}
		else {
			return get(node*2,bas,orta,x,y);
		}
	}
	else return get(node*2+1,orta+1,son,x,y);
}
void up(int node,int bas,int son,int x,int val) {
	if(bas>x || son<x) return ;
	if(bas==x && son==x) {
		S[node].pre.clear();
		S[node].suf.clear();
		S[node].result=S[node].szpre=S[node].szsuf=0;
		if(val>1) {
			S[node].szpre=S[node].szsuf=S[node].result=1;
			S[node].pre.pb({val,1});
			S[node].suf.pb({val,1});
		}
		return ;
	}
	up(node*2,bas,orta,x,val);
	up(node*2+1,orta+1,son,x,val);
	S[node]=merge(S[node*2],S[node*2+1]);
}
void build(int node,int bas,int son) {
	if(bas==son) {
		S[node].bas=bas;
		S[node].son=son;
	
		if(a[bas]>1) {
			S[node].pre.pb({a[bas],1});
			S[node].suf.pb({a[bas],1});
			S[node].szpre=S[node].szsuf=S[node].result=1;
		}
		return ;
	}
	build(node*2,bas,orta);
	build(node*2+1,orta+1,son);
	S[node]=merge(S[node*2],S[node*2+1]);
}
int main() {
	#if 0
	freopen("input.txt","r",stdin);
	#endif
	scanf("%d %d",&n,&q);
	for(int i=1;i<=n;i++) {
		scanf("%d",&a[i]);
	}
	build(1,1,n);
	while(q--) {
		scanf("%d %d %d",&t,&x,&y);
		if(t==1) {
			up(1,1,n,x,y);
		}
		else {
			SEG res=get(1,1,n,x,y);
			printf("%lld\n",res.result);
		}
	}
}
Compilation message (stderr)
garaza.cpp: In function 'int main()':
garaza.cpp:229:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d %d",&n,&q);
  ~~~~~^~~~~~~~~~~~~~~
garaza.cpp:233:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d",&a[i]);
   ~~~~~^~~~~~~~~~~~
garaza.cpp:241:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d %d %d",&t,&x,&y);
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