[PAT] A1019 General Palindromic Number
【题目】
https://pintia.cn/problem-sets/994805342720868352/problems/994805487143337984
题目大意:给定一个N和b,求N在b进制下,是否是一个回文数(Palindromic number)。其中,0<N, b<=10 ^ 9
【思路】
将n转为b进制下的数字,存储到vector<int>中,判断数组两端元素是否全部相等即可。可以倒序存储,不影响回文数的判断。
int最大约为2.14 * 10 ^ 9,不必担心int越界。
【坑】
b进制下的数字可能大于10,不能用字符串存储。用字符的话,数字+'0'可能会超出ascii表示的范围,测试点4过不了。
【代码】
#include<iostream>
#include<vector>
using namespace std;
int main()
{
int num, base;
cin >> num >> base;
vector<int>output;
while (num)
{
output.push_back(num % base);
num = num / base;
}
bool pal = true;
for (int i = ; i < output.size()/; i++)
{
if (output[i] != output[output.size() - i - ])
{
pal = false;
break;
}
}
if (pal) cout << "Yes" << endl;
else cout << "No" << endl;
for (int i = output.size() - ; i >= ; i--)
{
cout << output[i];
if (i > )cout << " ";
}
return ;
}
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