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NOI.AC

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#193725#2643. gcdwosile1001805ms21544kbC++916b2023-10-14 11:40:572023-10-14 13:09:34

answer

#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
ll g[100005][25];
int n,q;
ll a[100005];
int getd(int x){
	int cnt=0;
	while(x){
		x>>=1;
		cnt++;
	}
	return cnt-1;
}
int gg(int l,int r){
	int d=getd(r-l+1);
	return __gcd(g[l][d],g[r-(1<<d)+1][d]);
}
map<ll,ll>ans;
int main(){
	scanf("%d",&n);
	for(int i=1;i<=n;i++)scanf("%lld",&a[i]);
	for(int i=1;i<=n;i++)g[i][0]=a[i];
	for(int j=1;j<20;j++)for(int i=1;i+(1<<j)-1<=n;i++)g[i][j]=__gcd(g[i][j-1],g[i+(1<<(j-1))][j-1]);
	for(int i=1;i<=n;i++){
		int lp=i-1;
		ll lv=a[i];
		while(lp<n){
			int L=lp+1,R=n,b=lp+1;
			while(L<=R){
				int mid=(L+R)/2;
				if(gg(i,mid)==lv)L=mid+1,b=mid;
				else R=mid-1;
			} 
			ans[lv]+=b-lp;
			if(b<n)lv=gg(i,b+1);
			lp=b;
		}
	}
	scanf("%d",&q);
	while(q--){
		ll x;
		scanf("%lld",&x);
		printf("%lld\n",ans[x]);
	}
	return 0;
	//quod erat demonstrandum
}

Details

小提示:点击横条可展开更详细的信息

Test #1:

score: 10
Accepted
time: 102ms
memory: 1464kb

input:

1071
546 2340 8190 420 6300 1050 40950 25 23400 195 2340 630 195 40950 2184 504 525 130 2340 1800 39...

output:

29
568770
132
197
63
84
197
63
1099
568770
29
164
22
113
197
84
1099
568770
197
197
568770
716
132
6...

result:

ok 253041 lines

Test #2:

score: 10
Accepted
time: 60ms
memory: 1828kb

input:

2878
728 50 420 4200 25 200 4 81900 546 195 11700 900 900 42 1092 520 6 36 6552 150 18200 130 585 28...

output:

183
440
521
100
3619
1310
183
201
100
521
100
468
129
331
468
4128473
100
440
183
4128473
4128473
13...

result:

ok 278290 lines

Test #3:

score: 10
Accepted
time: 49ms
memory: 1584kb

input:

1685
1365 225 40 9 3900 3900 2100 105 120 25 8 2184 2184 10 2100 23400 780 600 325 32760 4680 260 39...

output:

1412451
1545
220
47
925
1412451
1412451
925
90
330
220
196
90
815
94
92
90
1412451
92
248
815
248
81...

result:

ok 253539 lines

Test #4:

score: 10
Accepted
time: 107ms
memory: 1948kb

input:

3492
1820 9100 45 8190 72 50 3276 260 14 8 24 65 910 5850 150 520 23400 520 700 2730 300 72 728 70 2...

output:

1954
1954
1940
2980
165
565
165
135
538
2980
569
1954
6081994
2980
165
178
1954
569
422
569
1954
538...

result:

ok 278788 lines

Test #5:

score: 10
Accepted
time: 273ms
memory: 14572kb

input:

65614
4680 3900 2340 6825 5 1560 780 12600 75 140 156 50 3276 182 315 52 5460 40950 20475 14 78 2340...

output:

10574
1873
1873
10249
3685
3735
10249
2152307887
10249
10249
1873
7058
10261
3672
2152307887
10249
1...

result:

ok 288360 lines

Test #6:

score: 10
Accepted
time: 418ms
memory: 21396kb

input:

99228
11700 1400 35 1260 2520 975 56 100 18200 468 20 1560 450 900 36 468 9 4 56 650 195 3 468 4680 ...

output:

16046
2780
15425
51019
5415
16035
11219
11219
16046
5417
51019
16035
15425
16035
5417
5517
51019
278...

result:

ok 288858 lines

Test #7:

score: 10
Accepted
time: 161ms
memory: 6532kb

input:

26035
39 900 315 1400 130 2600 7800 4095 234 36 200 25 312 1092 252 780 90 23400 1 4680 104 2 54600 ...

output:

13708
638
4405
4405
4175
4405
1333
4238
638
13173
4238
2712
1360
1333
4405
13173
4175
4405
2712
2712...

result:

ok 280460 lines

Test #8:

score: 10
Accepted
time: 228ms
memory: 9944kb

input:

42842
468 325 390 1 120 150 6552 60 840 780 7800 126 35 140 40950 81900 6300 75 1050 210 6300 700 45...

output:

6626
2410
7045
917526742
2410
2354
917526742
4904
2354
2456
917526742
917526742
7148
2354
7045
7148
...

result:

ok 255709 lines

Test #9:

score: 10
Accepted
time: 279ms
memory: 16776kb

input:

76456
8190 700 32760 27300 2100 24 3 126 1820 150 280 9100 104 3900 520 27300 65 1638 4095 273 450 1...

output:

12422
2922417371
12341
12121
8442
4236
38390
12422
4273
2030
4236
4155
41537
38390
2922417371
4236
8...

result:

ok 256207 lines

Test #10:

score: 10
Accepted
time: 128ms
memory: 21544kb

input:

100000
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2...

output:

5000050000
5000050000
5000050000
5000050000
5000050000
5000050000
5000050000
5000050000
5000050000
5...

result:

ok 300000 lines