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  • hdu 1023 卡特兰数《 大数》java

    Train Problem II

    Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
    Total Submission(s): 5372    Accepted Submission(s): 2911


    Problem Description
    As we all know the Train Problem I, the boss of the Ignatius Train Station want to know if all the trains come in strict-increasing order, how many orders that all the trains can get out of the railway.
     
    Input
    The input contains several test cases. Each test cases consists of a number N(1<=N<=100). The input is terminated by the end of file.
     
    Output
    For each test case, you should output how many ways that all the trains can get out of the railway.
     
    Sample Input
    1
    2
    3
    10
     
    Sample Output
    1
    2
    5
    16796
    Hint
    The result will be very large, so you may not process it by 32-bit integers.
     
    Author
    Ignatius.L
     
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     java大数问题。
     1 //package hxltom;
     2 
     3 import java.io.*;
     4 import java.math.BigInteger;
     5 import java.util.*;
     6 
     7 
     8 public class Main {
     9 
    10     public static void main(String[] args) throws Exception{
    11         // TODO Auto-generated method stub
    12         
    13         Scanner cin  = new Scanner(System.in);
    14         BigInteger dp[] = new BigInteger[101];
    15         dp[0] = BigInteger.ONE;
    16         dp[1] = BigInteger.ONE;
    17         for(int i=2;i<=100;i++)
    18         {
    19             dp[i] = dp[i-1].multiply(BigInteger.valueOf(4*i-2)).divide(BigInteger.valueOf(i+1));
    20         }
    21         int n;
    22         while(cin.hasNext())
    23         {
    24             n = cin.nextInt();    
    25             System.out.println(dp[n]);
    26         }
    27     }
    28 
    29 }

     另一种版本......

     1 //package hxltom;
     2 
     3 import java.io.*;
     4 import java.math.BigInteger;
     5 import java.util.*;
     6 
     7 
     8 public class Main {
     9 
    10     public static void main(String[] args) throws Exception{
    11         // TODO Auto-generated method stub
    12         
    13         Scanner cin  = new Scanner(System.in);
    14         BigInteger dp[] = new BigInteger[101];
    15         dp[0] = BigInteger.ONE;
    16         dp[1] = BigInteger.ONE;
    17         for(int i=2;i<=100;i++)
    18             dp[i] = BigInteger.ZERO;
    19         for(int i=2;i<=100;i++){
    20             for(int j=0;j<i;j++)
    21                 dp[i] = dp[i].add(dp[j].multiply(dp[i-j-1]));
    22         }
    23         int n;
    24         while(cin.hasNext())
    25         {
    26             n = cin.nextInt();    
    27             System.out.println(dp[n]);
    28         }
    29     }
    30 
    31 }
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  • 原文地址:https://www.cnblogs.com/tom987690183/p/3664504.html
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