package cap3

func Ex31(a, b, c int) int {
	lcm, maxNum := 0, 0
	maxNum = max(a, b, c)
	for i := 2; i <= maxNum; i++ {
		hasDivisible := true
		for hasDivisible {
			hasDivisible = false
			if a%i == 0 {
				a = a / i
				hasDivisible = true
			}

			if b%i == 0 {
				b = b / i
				hasDivisible = true
			}

			if c%i == 0 {
				c = c / i
				hasDivisible = true
			}

			if hasDivisible {
				lcm = lcm * i
			}
		}

		maxNum = max(a, b, c)
	}

	return lcm
}