Dividing Machine

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Chef has created a special dividing machine that supports the below given operations on an array of positive integers.
There are two operations that Chef implemented on the machine.
Type 0 Operation
Update(L,R):
for i = L to R:
a[i] = a[i] / LeastPrimeDivisor(a[i])
Type 1 Operation
Get(L,R):
result = 1
for i = L to R:
result = max(result, LeastPrimeDivisor(a[i]))
return result;
The function LeastPrimeDivisor(x) finds the smallest prime divisor of a number. If the number does not have any prime divisors, then it returns 1.
Chef has provided you an array of size N, on which you have to apply M operations using the special machine. Each operation will be one of the above given two types. Your task is to implement the special dividing machine operations designed by Chef. Chef finds this task quite easy using his machine, do you too?
Input
The first line of the input contains an integer T denoting the number of test cases. The description of T test cases follows.
The first line of each test case contains two spaceseparated integers N, M, denoting the size of array A and the number of queries correspondingly.The second line of each test case contains N spaceseparated integers A_{1}, A_{2}, ..., A_{N} denoting the initial array for dividing machine.
Each of following M lines contain three spaceseparated integers type, L, R  the type of operation (0  Update operation, 1  Get operation), and the arguments of function, respectively
Output
For each test case, output answer of each query of type 1 (Get query) separated by space. Each test case from the same file should start from the new line.
Constraints
 1 ≤ T ≤ 100
 1 ≤ A_{i} ≤ 10^{6}
 1 ≤ L ≤ R ≤ N
 0 ≤ type ≤ 1
 Sum of M over all test cases in a single test file does not exceed 10^{6}
Subtasks
Subtask #1: (10 points)
 1 ≤ N, M ≤ 10^{3}
Subtask #2: (25 points)
 1 ≤ N, M ≤ 10^{5}
 A_{i} is a prime number.
Subtask #3: (65 points)
 1 ≤ N, M ≤ 10^{5}
Example
Input: 2 6 7 2 5 8 10 3 44 1 2 6 0 2 3 1 2 6 0 4 6 1 1 6 0 1 6 1 4 6 2 2 1 3 0 2 2 1 1 2 Output: 5 3 5 11 1
Explanation
Example case 1.The states of array A after each Updateoperation:
A: = [2 1 4 10 3 44] A: = [2 1 4 5 1 22] A: = [1 1 2 1 1 11]
Author:  kaizer 
Tester:  dpraveen 
Editorial  http://discuss.codechef.com/problems/DIVMAC 
Tags  kaizer, medium, segmenttree, sept16 
Date Added:  5072015 
Time Limit:  1  3 sec 
Source Limit:  50000 Bytes 
Languages:  C, CPP14, JAVA, PYTH, PYTH 3.6, PYPY, CS2, PAS fpc, PAS gpc, RUBY, PHP, GO, NODEJS, HASK, SCALA, D, PERL, FORT, WSPC, ADA, CAML, ICK, BF, ASM, CLPS, PRLG, ICON, SCM qobi, PIKE, ST, NICE, LUA, BASH, NEM, LISP sbcl, LISP clisp, SCM guile, JS, ERL, TCL, PERL6, TEXT, SCM chicken, PYP3, CLOJ, FS 
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