【发布时间】:2014-02-09 16:01:54
【问题描述】:
无法让最大长度函数正常工作。
Everything else works perfectly. The function has to be recursive.
Assignment: 1a
Author: Cory Church
File: hailstone.cpp
Tab stops: 3
问题: Hailstone 程序读入一个 int 然后计算 并打印该号码的冰雹序列。它也是 打印序列的长度,序列中的最大数, 它们是多少个奇数,然后是一个最长的序列 到读入的号码。
示例:
与程序的交互:
我应该从什么数字开始? 7 从 7 开始的冰雹序列是 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1 序列的长度为 17。 其中6个数字是奇数。 序列中最大的数字是 52。 最长以 7 开头的冰雹序列的长度为 17
#include <cstdio>
using namespace std;
#include <algorithm>
// ****************************************************************************
/* next(n) returns the value of the next value in the hailstone
sequence when the current value is n.
Example: next(7) = 22 and next(22) = 11.
*/
int next(int n)
{
int i = n;
if (i % 2 == 0)
{
i = i/2;
}
else
{
i = 3 * i + 1;
}
return (i);
}
// ****************************************************************************
/* printHailstoneSequence(n) writes out all of the values of the hailstone
sequence starting with n.
Example: printHailstoneSequence(7);
7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1
*/
void printHailstoneSequence(int n)
{
int hail = n;
if (hail == 1)
{
printf("%i ", hail);
}
else
{
printf("%i ", hail);
printHailstoneSequence(next(hail));
}
}
// ****************************************************************************
// length(n) returns the length of the Hailstone sequence of n.
// Example: length(7) = 17
int length(int n)
{
int hail = n;
if(hail == 1)
{
return 1;
}
else
{
return 1+length(next(hail));
}
}
// ****************************************************************************
/* largest(n) determines the largest number of the Hailstone sequence
starting with n.
Example: largest(7)= 52
*/
int largest(int n)
{
int hail = n;
if (hail == 1)
{
return 1;
}
else
{
return max(largest(next(hail)), hail);
}
}
// ****************************************************************************
/* odd(n) determines the number of odd numbers in the Hailstone sequence
starting with n.
Example: odd(7)= 6
*/
int odd(int n)
{
if (n==1)
{
return 1;
}
else if (n%2 == 0)
{
return odd(next(n));
}
else
{
return 1+ odd(next(n));
}
}
// ****************************************************************************
/* largestLength(n) determines the longest length of any Hailstone sequence
from 1 to n.
Example: largestLength(7)= 17
*/
int largestLength(int n)
{
if (n == 1)
{
return 1;
}
else
{
return max(length(n),largestLength(length(n-1)));
}
}
// ****************************************************************************
int main(int argc, char** argv)
{
int n;
printf("What number should I start with? ");
scanf("%i", &n);
printf("The hailstone sequence starting at %i is\n", n);
printHailstoneSequence(n);
printf("\n");
printf("The length of the sequence is %i. \n", length(n));
printf("%i of the numbers are odd. \n", odd(n));
printf("The largest number in the seguence is %i. \n", largest(n));
printf("The longest hailstone sequence starting with a number up to %i has the length %i \n", n, largestLength(n));
return 0;
}
【问题讨论】:
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