Cutting Recipes

Problem code: RECIPE

All submissions for this problem are available.

The chef has a recipe he wishes to use for his guests, but the recipe will make far more food than he can serve to the guests. The chef therefore would like to make a reduced version of the recipe which has the same ratios of ingredients, but makes less food. The chef, however, does not like fractions. The original recipe contains only whole numbers of ingredients, and the chef wants the reduced recipe to only contain whole numbers of ingredients as well. Help the chef determine how much of each ingredient to use in order to make as little food as possible.

Input

Input will begin with an integer T, the number of test cases. Each test case consists of a single line. The line begins with a positive integer N, the number of ingredients. N integers follow, each indicating the quantity of a particular ingredient that is used.

Output

For each test case, output exactly N space-separated integers on a line, giving the quantity of each ingredient that the chef should use in order to make as little food as possible.

Sample Input

3
2 4 4
3 2 3 4
4 3 15 9 6

Sample Output

1 1
2 3 4
1 5 3 2

Constraints

T≤100
2≤N≤50
All ingredient quantities are between 1 and 1000, inclusive.
Author: pieguy
Date Added: 12-11-2010
Time Limit: 2 sec
Source Limit: 50000 Bytes
Languages: ADA, ASM, BASH, BF, C, C99 strict, CAML, CLOJ, CLPS, CPP 4.0.0-8, CPP 4.3.2, CS2, D, ERL, F#, FORT, GO, HASK, ICK, ICON, JAR, JAVA, JS, LISP clisp, LISP sbcl, LUA, NEM, NICE, PAS fpc, PAS gpc, PERL, PERL6, PHP, PIKE, PRLG, PYTH, PYTH 3.1.2, RUBY, SCALA, SCM guile, SCM qobi, ST, TEXT, WSPC


Comments

plz explain d diff between

ashk @ 5 Aug 2011 02:07 AM
plz explain d diff between : int min(int a,int b) { return a>b?b:a; } int min(int a,int b) { if(b==0) return a; return min(b,a%b); } both are the function for finding min element from the given array

No , I believe the 2nd

rjdhania @ 5 Aug 2011 03:09 AM
No , I believe the 2nd function determines the GCD of a and b.Read Euclid's algorithm on wiki for more.

@admin: whats the problem

coderfrmhell @ 24 May 2012 02:18 AM
@admin: whats the problem with my code http://www.codechef.com/viewsolution/1057590 it says Wrong Answer..

SUCCESSFUL SUBMISSIONS FOR THIS PROBLEM:

HELP

Program should read from standard input and write to standard output. After you submit a solution you can see your results by clicking on the [My Submissions] tab on the problem page. Below are the possible results:

 

  • Accepted Your program ran successfully and gave a correct answer. If there is a score for the problem, this will be displayed in parenthesis next to the checkmark.
  • Time Limit Exceeded Your program was compiled successfully, but it didn't stop before time limit. Try optimizing your approach.
  • Wrong Answer Your program compiled and ran succesfully but the output did not match the expected output.
  • Runtime Error Your code compiled and ran but encountered an error. The most common reasons are using too much memory or dividing by zero. For the specific error codes see the help section.
  • Compilation Error Your code was unable to compile. When you see this icon, click on it for more information.

    • If you are still having problems, see a sample solution here.

CodeChef is a global programming communityCodeChef hosts online programming competitions