/*local function gcd(a,b)
  if b == 0 then return a end
  return gcd(b, math.fmod(a, b))
end

local function lcm(a)
  local out = a[1]

  for i=2,#a do
    out = ((a[i] * out)) / (gcd(a[i], out))
  end
  return out
end
*/
#include "math.h"
#include "stdint.h"
#include <stdlib.h>

uint64_t gcd(uint64_t a, uint64_t b){
  if(b == 0) return a;
  return gcd(b, a % b);
}

uint64_t lcm(uint64_t* a, size_t len){
  uint64_t out = a[0];
  
  for(size_t i = 1; i != len; i++){
    out = (a[i] * out) / gcd(a[i], out);
  }
  return out;
}

int l_lcm(lua_State* L){
  luaL_checktype(L, 1, LUA_TTABLE);
  size_t len = lua_objlen(L,1); 
  uint64_t* nums = malloc(sizeof * nums * len);
  for(size_t i = 0; i <= len-1; i++){

    lua_pushinteger(L,i+1);
    lua_gettable(L,1);
       
    nums[i] = luaL_checknumber(L, -1);
    lua_pop(L,1);
  }
  lua_pushnumber(L, lcm(nums, len));
  free(nums);
  return 1;
}