SAS002  Apoorv and Math problem
Apoorv is an expert in maths .There are very few questions in maths that Apoorv is unable to answer.Apoorv's teacher is not very fond of Apoorv.So he decided to give Apoorv a function value to calculate.Apoorv is unable to solve this problem and turns to you for help.Help him to find the answer to the function quickly.Apoorv's teacher will only check the final answer.So Apoorv is free to do calculate the value by any function he likes but the final answer should be same.Also as his teacher don't like him much he gave him a very strict time limit to solve the problem.Help Apoorv in finding the answer quickly.
The function given by Apoorv's teacher is as follows:
function(number) {
answer = 1
for ( each i from 1 to number) {
if( number modulo i is 0 ) {
answer=answer multiplied by i
}
}
return answer
}
Constraints:
At max 100 numbers will be given by Apoorv's teacher.
The value of number given by Apoorv's teacher will easily fit into 64 bitinteger and will always be positive.
Input
First line will contain t denoting t numbers that are given by Apoorv's teacher.
Next t lines will contain a single integer denoting the number.
Output
For each t numbers output the value of answer in new line.Since the value of answer can be very large Apoorv's teacher is fine with you reporting the answer modulo 10^{9}+7.
Example
Input: 2
1
2
Output: 1
2
hide comments
sas1905:
20171204 19:07:02
Edit :@ nadstratosfer: Glad you liked the problem :) Last edit: 20171205 07:17:57 

nadstratosfer:
20171204 12:44:50
sas1905, please let me know which case my code fails on. It seems to be passing all the traps I can throw at it. BTW not sure if such cases are in testfiles but for n >= 2^63 judge solution appears to break.


trijeet:
20171025 01:03:56
Great Problem ! AC in 5th go ;) 

visleck:
20170816 17:52:29
@sas1905 can u tell me where I am going wrong.I believe I am doing it correctly 

sas1905:
20170816 09:17:52
@pvsmpraveen going by the constraints I don't think so. 

sas1905:
20170816 09:15:11
@amulyagaur the number is positive and constraint range is range of 64 bit integer. 

amulyagaur:
20170816 08:50:31
@sas1905 what are the specific constraints?? 

harsh_verma:
20170815 11:03:43
really good 1 :) 

divyanshjr:
20170815 10:05:34
Sas pro! Please don't call it an easy problem.. :P 

pvsmpraveen:
20170815 07:26:50
Nice Question AC in 2 go :)

Added by:  sas1905 
Date:  20170813 
Time limit:  1s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All 
Resource:  College Contests. 