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HDU 1316 (斐波那契數列,大數相加,大數比較大小)

n-n rmi mina -- leading else ring tput length

題目鏈接:

http://acm.hdu.edu.cn/showproblem.php?pid=1316

Recall the definition of the Fibonacci numbers:
f1 := 1
f2 := 2
fn := fn-1 + fn-2 (n >= 3)

Given two numbers a and b, calculate how many Fibonacci numbers are in the range [a, b].

Input The input contains several test cases. Each test case consists of two non-negative integer numbers a and b. Input is terminated by a = b = 0. Otherwise, a <= b <= 10^100. The numbers a and b are given with no superfluous leading zeros.

Output For each test case output on a single line the number of Fibonacci numbers fi with a <= fi <= b.

Sample Input 10 100 1234567890 9876543210 0 0

Sample Output 5 4 代碼如下:
#include<bits/stdc++.h>
using namespace std;
string str[500];
string add(string str1,string str2)//大數相加
{
    
int l1=str1.length(); int l2=str2.length(); if(l1>l2) { for(int i=0;i<l1-l2;i++) { str2="0"+str2; } }else if(l1<l2) { for(int i=0;i<l2-l1;i++) { str1="0"+str1; } } l1=str1.length(); string
str3; int c=0; for(int i=l1-1;i>=0;i--) { int temp=str1[i]-0+str2[i]-0+c; c=temp/10; temp=temp%10; str3=char(temp+0)+str3; } if(c!=0) { str3=char(c+0)+str3; } return str3; } int compare(string str1,string str2)//str1大於等於str2,返回1 { int l1=str1.length(); int l2=str2.length(); if(l1>l2) { return 1; }else if(l1<l2) { return 0; }else { for(int i=0;i<l1;i++) { if(str1[i]>str2[i]) { return 1; }else if(str1[i]==str2[i]) { continue; }else { return 0; } } } return 1; } int f(string str1,string str2)//找出兩個大數中間的斐波那契數的個數,包括邊界 { int l1=str1.length(),l2=str2.length(),index1,index2; for(int i=0;i<=500;i++) { int k=str[i].length(); if(k<l1) continue; else { index1=i; break; } } for(int i=499;i>=0;i--) { int k=str[i].length(); if(k>l2) continue; else { index2=i; break; } } int r=0; for(int i=index1;i<=index2;i++) { if(compare(str[i],str1)==1&&compare(str2,str[i])==1) { r++; } } return r; } int main() { string str1,str2; str[0]="1"; str[1]="2"; for(int i=2;i<500;i++)//先求出需要的斐波那契數列,第500個斐波那契數大於10的1000次方 { str[i]=add(str[i-1],str[i-2]); } while(cin>>str1>>str2) { if(str1=="0"&&str2=="0") break; int r=f(str1,str2); printf("%d\n",r); } return 0; }

HDU 1316 (斐波那契數列,大數相加,大數比較大小)