HDU1316:How Many Fibs?(大数JAVA)

发布时间：2020-12-14 03:30:01 所属栏目：大数据来源：网络整理

导读：L -? How Many Fibs? Time Limit: 1000 MS????? Memory Limit: 32768 KB????? 64bit IO Format: %I64d %I64u Submit ? Status Description Recall the definition of the Fibonacci numbers:? f1 := 1? f2 := 2? fn := fn-1 + fn-2 (n = 3)? Given two numbe

L -?How Many Fibs?

Time Limit:1000MS?????Memory Limit:32768KB?????64bit IO Format:%I64d & %I64u

Submit? Status

Description

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

题意：大于a小于b的斐波那契数个数

分析：大数，用JAVA吧

代码：

import java.io.*;
import java.math.*;
import java.util.*;
import java.text.*;
 
public class Main {
 
    public static void main(String[] args) {
        Scanner in = new Scanner(System.in);
        BigInteger[] dp = new BigInteger[1000];
        dp[1] = BigInteger.ONE;
        dp[2] = BigInteger.ONE.add( BigInteger.ONE );
        dp[3] = dp[1].add(dp[2]);
        int i;
        for (i = 3; i <= 500; ++i) {
            dp[i] = dp[i - 1].add(dp[i - 2]);
        }
        BigInteger l,r;
        while (in.hasNextBigInteger()) {
            int cnt = 0;
            l = in.nextBigInteger();
            r = in.nextBigInteger();
            if (BigInteger.ZERO.equals(l) && BigInteger.ZERO.equals(r)) {
                break;
            }
            for (int j = 1; j <= 500; ++j) {
                if(dp[j].compareTo(r)>0){
                        break;
                }
                if(dp[j].compareTo(l)>=0){
                        cnt++;
                }
            }
            System.out.println(cnt);
        }
        System.exit(0);
    }
}

（编辑：李大同）

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