Souvenir
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 262144/262144 K (Java/Others)
Total Submission(s): 416 Accepted Submission(s): 270
Problem DescriptionToday is the 1st anniversary of BestCoder. Soda, the contest manager, wants to buy a souvenir for each contestant. You can buy the souvenir one by one or set by set in the shop. The price for a souvenir is p yuan
and the price for a set of souvenirs if q yuan.
There’s m souvenirs
in one set.
There’s n contestants
in the contest today. Soda wants to know the minimum cost needed to buy a souvenir for each contestant. InputThere are multiple test cases. The first line of input contains an integer T (1≤T≤105),
indicating the number of test cases. For each test case:
There’s a line containing 4 integers n,m,p,q (1≤n,m,p,q≤104). OutputFor each test case, output the minimum cost needed. Sample Input
2
1 2 2 1
1 2 3 4
Sample Output
1
3HintFor the first case, Soda can use 1 yuan to buy a set of 2 souvenirs.
For the second case, Soda can use 3 yuan to buy a souvenir.
SourceBestCoder 1st Anniversary ($) Recommendhujie | We have carefully selected several similar problems for you: 5315 5314 5313 5312 5311
BestCoder官方解析:
1001 Souvenir本题是一个简单的数学题. 假设套装优惠的话就尽量买套装, 否则单件买. 注意一下假设一直用套装的话可能在最后的零头不如单买好, 即(n mod m)⋅p<q.
#include<iostream>
#include<cstdio>
using namespace std;
int main()
{
int t,n,m,p,q;//单位价格p元,套装q元,一个套装有m个纪念品,总共n个參赛者
scanf("%d",&t);
while(t--)
{
scanf("%d%d%d%d",&n,&m,&p,&q);
int price = 0;
if(q/m<p)//假设套装优惠的话尽量买套装
{
if((n%m)*p<q)//假设在买套装最后零头的处理不如单位价格买廉价
{
price = (n/m)*q+(n%m)*p;//就在最后零头买单位价格
}
else
{
price = (n/m+1)*q;//否则多买一个套装
}
}
else//否则直接单位价格买
{
price = n*p;
} printf("%d\n",price);
}
return 0;
}
中文题目在以下:
Souvenir
Accepts: 901 Submissions: 2743 Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 262144/262144 K (Java/Others)问题描写叙述
今天是BestCoder一周年纪念日. 比赛管理员Soda想要给每一个參赛者准备一个纪念品. 商店里纪念品的单位价格是p元, 同一时候也能够花q元购买纪念品套装, 一个套装里有m个纪念品.今天总共同拥有n个參赛者, Soda想要知道最少须要花多少钱才干够给每一个人都准备一个纪念品.
输入描写叙述
输入有多组数据. 第一行有一个整数T (1≤T≤105), 表示測试数据组数. 然后对于每组数据:一行包括4个整数 n,m,p,q (1≤n,m,p,q≤104).
输出描写叙述
对于每组数据输出最小花费.
输入例子
2
1 2 2 1
1 2 3 4
输出例子
1
3
Hint
对于第一组数据, Soda能够1元购买一个套装. 对于第二组数据, Soda能够直接花3元购买一个纪念品.