​http://acm.hdu.edu.cn/showproblem.php?pid=5381​

线段树套gcd的题好多啊 感觉年年区域赛或多校都有

查询区间gcd之和 无修改 还是先把以每个点为端点的小区间都找出来 然后离线处理 把查询按右端点排序 然后把所有小于等于右端点的点上的小区间都更新到线段树里 区间更新区间查询即可

#include <bits/stdc++.h>
using namespace std;
#define ll long long

struct node1
{
int pos;
int val;
};

struct node2
{
int id;
int l;
int r;
};

vector <node1> pre[10010];
node2 order[10010];
ll sum[40010],laz[40010],ans[10010];
int ary[10010],gou[40010],root[10010];
int n,q,num;

bool cmp(node2 n1,node2 n2)
{
return n1.r<n2.r;
}

int getgcd(int a,int b)
{
int t;
while(b>0)
{
t=b;
b=a%b;
a=t;
}
return a;
}

void pushupI(int cur)
{
gou[cur]=getgcd(gou[2*cur],gou[2*cur+1]);
}

void buildI(int l,int r,int cur)
{
int m;
if(l==r)
{
gou[cur]=ary[l];
return;
}
m=(l+r)/2;
buildI(l,m,2*cur);
buildI(m+1,r,2*cur+1);
pushupI(cur);
}

int queryI(int pl,int pr,int gcd,int l,int r,int cur)
{
int res,m;
if(pl<=l&&r<=pr&&gou[cur]%gcd==0) return 0;
if(l==r) return l;
res=0,m=(l+r)/2;
if(pr>m) res=queryI(pl,pr,gcd,m+1,r,2*cur+1);
if(res==0&&pl<=m) res=queryI(pl,pr,gcd,l,m,2*cur);
return res;
}

void solve()
{
node1 tmp;
int i,j,p,gcd;
for(i=1;i<=n;i++) pre[i].clear();
for(i=1;i<=n;i++)
{
p=i,gcd=ary[i];
while(p>=1)
{
p=queryI(1,p,gcd,1,n,1);
tmp.pos=p,tmp.val=gcd;
pre[i].push_back(tmp);
gcd=getgcd(gcd,ary[p]);
}
}
}

void pushupII(int cur)
{
sum[cur]=sum[2*cur]+sum[2*cur+1];
}

void pushdownII(int cur,int l,int r)
{
ll len;
int m;
if(laz[cur]!=0)
{
m=(l+r)/2;
len=m-l+1;
sum[2*cur]+=len*laz[cur];
laz[2*cur]+=laz[cur];
len=r-m;
sum[2*cur+1]+=len*laz[cur];
laz[2*cur+1]+=laz[cur];
laz[cur]=0;
}
}

void updateII(int pl,int pr,ll val,int l,int r,int cur)
{
ll len;
int m;
if(pl<=l&&r<=pr)
{
len=r-l+1;
sum[cur]+=len*val;
laz[cur]+=val;
return;
}
pushdownII(cur,l,r);
m=(l+r)/2;
if(pl<=m) updateII(pl,pr,val,l,m,2*cur);
if(pr>m) updateII(pl,pr,val,m+1,r,2*cur+1);
pushupII(cur);
}

ll queryII(int pl,int pr,int l,int r,int cur)
{
ll res;
int m;
if(pl<=l&&r<=pr) return sum[cur];
pushdownII(cur,l,r);
res=0,m=(l+r)/2;
if(pl<=m) res+=queryII(pl,pr,l,m,2*cur);
if(pr>m) res+=queryII(pl,pr,m+1,r,2*cur+1);
return res;
}

int main()
{
int t,i,j,p,pos;
scanf("%d",&t);
while(t--)
{
scanf("%d",&n);
for(i=1;i<=n;i++) scanf("%d",&ary[i]);
buildI(1,n,1);
solve();
scanf("%d",&q);
for(i=1;i<=q;i++)
{
order[i].id=i;
scanf("%d%d",&order[i].l,&order[i].r);
}
sort(order+1,order+q+1,cmp);
memset(sum,0,sizeof(sum));
memset(laz,0,sizeof(laz));
p=1;
for(i=1;i<=q;i++)
{
while(p<=order[i].r)
{
pos=p;
for(j=0;j<pre[p].size();j++)
{
updateII(pre[p][j].pos+1,pos,pre[p][j].val,1,n,1);
pos=pre[p][j].pos;
}
p++;
}
ans[order[i].id]=queryII(order[i].l,order[i].r,1,n,1);
}
for(i=1;i<=q;i++) printf("%lld\n",ans[i]);
}
return 0;
}