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【问题描述】
阿迪有很多钱。他在银行里有n元。出于安全考虑,他想用现金取款(此处不透露原因)。钞票的面额是1,5,10,20,100元。取出全部余额后能收到的最小钞票数是多少?
【输入形式】
输入一个正整数n,(1≤n≤109)
【输出形式】
阿迪能收到的最小钞票数
【样例输入1】
125
【样例输出1】
3
【样例输入2】
43
【样例输出2】
5
【样例输入3】
1000000000
【样例输出3】
10000000
【样例说明】
本题可以直接使用贪心策略(优先尽可能多选择大面额的钞票)解决:主要原因是后一个的权值(这里就是纸币面值)是前一个的2倍或以上。
可以思考一下如果货币的类型是1,9,10元三种,要求凑出18元,你可能就会发现贪心算法出错了!
#include<iostream> using namespace std; int main() { int n,sum=0; cin>>n;
while(n) { if(n>=100) { sum+=n/100; n%=100; } if(n<100&n>=20) { sum+=n/20;
n%=20; } if(n<20&&n>=10) { sum+=n/10; n%=10; } if(n<10&&n>=5) { sum+=n/5; n%=5;
} if(n<5&&n>=1) { sum+=n/1; n%=1; } } cout<<sum; return 0; }