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#215272#2643. gcdSTASISZHY1001507ms18480kbC++111.4kb2024-11-27 21:46:372024-11-27 23:39:45

answer

// Problem: C. gcd
// Contest: undefined - NOIP2024训练赛 15
// URL: http://noi.ac/contest/1167/problem/2643
// Memory Limit: 1024 MB
// Time Limit: 1000 ms
// 
// Powered by CP Editor (https://cpeditor.org)

#include<bits/stdc++.h>
#define int long long
#define fi first
#define se second
#define PII pair<int, int>

using namespace std;

const int N = 2e5 + 10, M = 1e6 + 10, mod = 1e9 + 7, INF = 0x3f3f3f3f;

int n, m, q;
int s[N], st[N][22];

map<int, int> ans;

int gcd(int a, int b)
{
	if(!b) return a;
	return gcd(b, a % b);
}

int calc(int l, int r)
{
	int k = log2(r - l + 1);
	return gcd(st[l][k], st[r - (1 << k) + 1][k]);
}

inline void init()
{
	for(int j = 1; j <= 20; j ++)
		for(int i = 1; i + (1 << j) - 1 <= n; i ++) 
			st[i][j] = gcd(st[i][j - 1], st[i + (1 << (j - 1))][j - 1]);
}

int solve(int k, int l, int r, int g)
{
	if(l == r) return l;
	if(l + 1 == r) 	return calc(k, r) == g ? r : l;
	int mid = l + r >> 1;
	if(calc(k, mid) == g) return solve(k, mid, r, g);
	else return solve(k, l, mid - 1, g);
}

signed main()
{
	ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
	cin >> n;
	for(int i = 1; i <= n; i ++) cin >> st[i][0];
	init();
	for(int i = 1; i <= n; i ++)
	{
		int l = i;
		while(l <= n)
		{
			int r = solve(i, l, n, calc(i, l));
			ans[calc(i, l)] += (r - l + 1), l = r + 1;
		}
	}
	cin >> q;
	while(q --)
	{
		int x; cin >> x;
		cout << ans[x] << '\n';
	}
	return 0;
}

详细

小提示:点击横条可展开更详细的信息

Test #1:

score: 10
Accepted
time: 38ms
memory: 1480kb

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: 46ms
memory: 1792kb

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: 42ms
memory: 1588kb

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: 48ms
memory: 1900kb

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: 251ms
memory: 12576kb

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: 364ms
memory: 18348kb

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: 119ms
memory: 5772kb

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: 168ms
memory: 8660kb

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: 283ms
memory: 14440kb

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: 148ms
memory: 18480kb

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