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NOI.AC

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#215243#2643. gcdKXG1001492ms18296kbC++111.9kb2024-11-27 19:53:122024-11-27 23:37:32

answer

#include <cstdio>
#include <cmath>
#include <map>
using namespace std;
long long gcd(long long a, long long b) {
    if (b == 0) {
        return a;
    }
    return gcd(b, a % b);
}
struct GCDRMQ {
    int n;
    long long a[100010];
    long long f[20][100010];
    void init() {
        for (int i = 1; i <= n; i++) {
            f[0][i] = a[i];
        }
        for (int i = 1; i < 20; i++) {
            for (int j = 1; j <= n; j++) {
                if (j + (1 << (i - 1)) > n) {
                    f[i][j] = f[i - 1][j];
                } else {
                    f[i][j] = gcd(f[i - 1][j], f[i - 1][j + (1 << (i - 1))]);
                }
            }
        }
    }
    long long query(long long l, long long r) {
        int i = log2(r - l + 1);
        return gcd(f[i][l], f[i][r - (1 << i) + 1]);
    }
} gr;
int n, q;
long long a[100010], x;
map<long long, long long> mp;
pair<int, long long> findr(int l, int r) {
    long long now = gr.query(l, r);
    int L = r, R = n, ans;
    while (L <= R) {
        int mid = (L + R) >> 1;
        if (gr.query(l, mid) == now) {
            ans = mid;
            L = mid + 1;
        } else {
            R = mid - 1;
        }
    }
    return {ans, now};
}
int main() {
    scanf("%d", &n);
    gr.n = n;
    for (int i = 1; i <= n; i++) {
        scanf("%lld", &a[i]);
        gr.a[i] = a[i];
    }
    gr.init();
    for (int i = 1; i <= n; i++) {
        for (int j = i - 1; j < n; ) {
            pair<int, long long> res = findr(i, j + 1);
            int r = res.first;
            long long v = res.second;
            mp[v] += r - j;
            j = r;
        }
    }
    scanf("%d", &q);
    for (int i = 1; i <= q; i++) {
        scanf("%d", &x);
        if (!mp.count(x)) printf("0\n");
        else printf("%lld\n", mp[x]);
    }
    return 0;
}

Details

小提示:点击横条可展开更详细的信息

Test #1:

score: 10
Accepted
time: 44ms
memory: 1380kb

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: 58ms
memory: 1684kb

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: 46ms
memory: 1484kb

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: 64ms
memory: 1788kb

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: 243ms
memory: 12464kb

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: 340ms
memory: 18244kb

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: 120ms
memory: 5656kb

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: 162ms
memory: 8564kb

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: 267ms
memory: 14340kb

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: 18296kb

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