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Bamboo Pole-vault is a massively popular sport in Xzhiland. And Master Phi-shoe is a very popular coach for his success. He needs some bamboos for his students, so he asked his assistant Bi-Shoe to go to the market and buy them. Plenty of Bamboos of all possible integer lengths (yes!) are available in the market. According to Xzhila tradition,
Score of a bamboo = Φ (bamboo's length)
(Xzhilans are really fond of number theory). For your information, Φ (n) = numbers less than n which are relatively prime (having no common divisor other than 1) to n. So, score of a bamboo of length 9 is 6 as 1, 2, 4, 5, 7, 8 are relatively prime to 9.
The assistant Bi-shoe has to buy one bamboo for each student. As a twist, each pole-vault student of Phi-shoe has a lucky number. Bi-shoe wants to buy bamboos such that each of them gets a bamboo with a score greater than or equal to his/her lucky number. Bi-shoe wants to minimize the total amount of money spent for buying the bamboos. One unit of bamboo costs 1 Xukha. Help him.
Input
Input starts with an integer T (≤ 100), denoting the number of test cases.
Each case starts with a line containing an integer n (1 ≤ n ≤ 10000) denoting the number of students of Phi-shoe. The next line contains n space separated integers denoting the lucky numbers for the students. Each lucky number will lie in the range [1, 106].
Output
For each case, print the case number and the minimum possible money spent for buying the bamboos. See the samples for details.
Sample Input
3
5
1 2 3 4 5
6
10 11 12 13 14 15
2
1 1
Sample Output
Case 1: 22 Xukha
Case 2: 88 Xukha
Case 3: 4 Xukha
#include#include #include #include using namespace std;const int maxn=1e6+1e5;typedef long long ll;int pri[maxn];int ou[maxn];int t;int n;int a[maxn];int ha[maxn];void qiu (){ memset (pri,0,sizeof(pri)); for (int i=1;i =0&&ha[j]==0;j--) { ha[j]=i; } }}int main(){ memset (ha,0,sizeof(ha)); qiu(); scanf("%d",&t); for (int j=1;j<=t;j++) { scanf("%d",&n); for (int i=1;i<=n;i++) scanf("%d",&a[i]); ll sum=0; for (int i=1;i<=n;i++) { //printf("ha[%d]=%d\n",a[i],ha[a[i]]); sum+=ha[a[i]]; } printf("Case %d: %lld Xukha\n",j,sum); } return 0;}
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