Memory for variable length arrays clearly can't be statically allocated. It can however be allocated on the stack. Generally this involves the use of a "frame pointer" to keep track of the location of the functions stack frame in the face of dynamicly determined changes to the stack pointer.
When I try to compile your program it seems that what actually happens is that the variable length array got optimised out. So I modified your code to force the compiler to actually allocate the array.
#include <stdio.h>
int main(int argc, char const *argv[])
{
    int n;
    scanf("%d",&n);
    int k[n];
    printf("%s %ld",k,sizeof(k));
    return 0;
}
Godbolt compiling for arm using gcc 6.3 (using arm because I can read arm ASM) compiles this to https://godbolt.org/g/5ZnHfa. (comments mine)
main:
        push    {fp, lr}      ; Save fp and lr on the stack
        add     fp, sp, #4    ; Create a "frame pointer" so we know where
                              ; our stack frame is even after applying a 
                              ; dynamic offset to the stack pointer.
        sub     sp, sp, #8    ; allocate 8 bytes on the stack (8 rather
                              ; than 4 due to ABI alignment
                              ; requirements)
        sub     r1, fp, #8    ; load r1 with a pointer to n
        ldr     r0, .L3       ; load pointer to format string for scanf
                              ; into r0
        bl      scanf         ; call scanf (arguments in r0 and r1)
        ldr     r2, [fp, #-8] ; load r2 with value of n
        ldr     r0, .L3+4     ; load pointer to format string for printf
                              ; into r0
        lsl     r2, r2, #2    ; multiply n by 4
        add     r3, r2, #10   ; add 10 to n*4 (not sure why it used 10,
                              ; 7 would seem sufficient)
        bic     r3, r3, #7    ; and clear the low bits so it is a
                              ; multiple of 8 (stack alignment again) 
        sub     sp, sp, r3    ; actually allocate the dynamic array on
                              ; the stack
        mov     r1, sp        ; store a pointer to the dynamic size array
                              ; in r1
        bl      printf        ; call printf (arguments in r0, r1 and r2)
        mov     r0, #0        ; set r0 to 0
        sub     sp, fp, #4    ; use the frame pointer to restore the
                              ; stack pointer
        pop     {fp, lr}      ; restore fp and lr
        bx      lr            ; return to the caller (return value in r0)
.L3:
        .word   .LC0
        .word   .LC1
.LC0:
        .ascii  "%d\000"
.LC1:
        .ascii  "%s %ld\000"