Hat’s Fibonacci
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 11381 Accepted Submission(s): 3794
Problem Description
A Fibonacci sequence is calculated by adding the previous two members the sequence, with the first two members being both 1.
F(1) = 1, F(2) = 1, F(3) = 1,F(4) = 1, F(n>4) = F(n - 1) + F(n-2) + F(n-3) + F(n-4)
Your task is to take a number as input, and print that Fibonacci number.
Input
Each line will contain an integers. Process to end of file.
Output
For each case, output the result in a line.
Sample Input
100
Sample Output
4203968145672990846840663646
Note:
No generated Fibonacci number in excess of 2005 digits will be in the test data, ie. F(20) = 66526 has 5
斐波那契数列,大数;
大数相加模板:http://blog.csdn.net/zxy160/article/details/53044156
这里换一种做法;因为感觉比大数模板短,而且有意思;
#include<stdio.h>
#include<iostream>
#include<algorithm>
using namespace std;
int f[10000][260]= {0};//最长2005位,那么一个数组存八位数,开260的空间就够了
int n;
int i,j;
void init()
{
f[1][0]=1;
f[2][0]=1;
f[3][0]=1;
f[4][0]=1;
for(i=5; i<10000; i++)
{
for(j=0; j<260; j++)
f[i][j]=f[i-1][j]+f[i-2][j]+f[i-3][j]+f[i-4][j];//对应上面四位数的位置并相加
//求出现在的数
for(j=0; j<260; j++)
if(f[i][j]>100000000)//如果超过8位数,向前进
{
f[i][j+1]+=f[i][j]/100000000;
f[i][j]=f[i][j]%100000000;
}
}
}
int main()
{
init();
while(~scanf("%d",&n))
{
for(i=259; i>=0; i--)//找到高位不为0的那个数
{
if(f[n][i]!=0)
break;
}
printf("%d",f[n][i]);//先输出
for(j=i-1; j>=0; j--)//从=下一位开始
{
printf("%08d",f[n][j]);//输出8位,不够左补0
}
printf("
");
}
return 0;
}