In mathematics, the nth harmonic number is the sum of the reciprocals of the first n natural numbers:
In this problem, you are given n, you have to find Hn.
Input
Input starts with an integer T (≤ 10000), denoting the number of test cases.
Each case starts with a line containing an integer n (1 ≤ n ≤ 108).
Output
For each case, print the case number and the nth harmonic number. Errors less than 10-8 will be ignored.
SampleInput
12
1
2
3
4
5
6
7
8
9
90000000
99999999
100000000
SampleOutput
Case 1: 1
Case 2: 1.5
Case 3: 1.8333333333
Case 4: 2.0833333333
Case 5: 2.2833333333
Case 6: 2.450
Case 7: 2.5928571429
Case 8: 2.7178571429
Case 9: 2.8289682540
Case 10: 18.8925358988
Case 11: 18.9978964039
Case 12: 18.9978964139
题意:求调和级数
思路:肯定是要离线的,一开始写了一发纯打表 然后就RE。。学一手分块打表
#include <cstdio>
using namespace std;
const int maxn =1e8+5;
const int N = 2e6+5;///每隔50打一次,缩小内存
double a[N];
int main()
{
int t;
double sum=0;
int cnt=0;
a[0]=0;
for(int i=1;i<=maxn;i++)
{
sum+=1.0/i;
if(i%50==0)///隔50记录一次
a[++cnt]=sum;
}
scanf("%d",&t);
for(int cas=1;cas<=t;cas++)
{
int n;
scanf("%d",&n);
double res=a[n/50];///先得到对应块里的值
for(int i=n/50*50+1;i<=n;i++)///然后暴力出来答案
res+=1.0/i;
printf("Case %d: %.11f\n",cas,res);
}
return 0;
}