Smallest number divisible by first n numbers

PROBLEM :

Given a number n the task is to complete the function which returns an integer denoting the smallest number evenly divisible by each number from 1 to n.

Input:
The first line of input contains an integer T denoting the no of test cases then T test cases follow. Each line contains an integer N.

Output:
For each test case output will be in new line denoting the smallest number evenly divisible by each number from 1 to n.

Constraints:
1<=T<=50
1<=n<=25

Example(To be used only for expected output):
Input:
2
3
6

Output:
6
60

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SIMPLE c++ IMPLEMENTATION :
--------------------------------------------------------------------------------

/*You are required to complete this method */

long long lcm(long long ,long long ) ;
long long gcd(long long ,long long ) ;
long long getSmallestDivNum(long long no)
{
    int i ;
    long long ans=1 ;
    for(i=1;i<=no;i++)
    {
        ans=lcm(ans,i) ;
    }
    return ans ;
}

long long lcm(long long a,long long b)
{
    return a*b/(a>b?gcd(b,a):gcd(a,b)) ;
}

long long gcd(long long a,long long b)
{
    long long rem ;
    rem=b%a ;
    if(rem==0)
        return a ;
    else
        return gcd(rem,a) ;
}

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