Get the minimum integer value from an operation combining a set of integer.

min.py

numbers = [5, 7, 8, 6, 4]
values = []

#5 6 7 4 8
#6 5 7 4 8

def is_integer(n, p, q, r, s):
    if ((n + p - q) * r) % s  == 0:
        return True 

def calculate(n, p, q, r, s):
    if ((n + p - q) * r) % s  == 0:
        return ((n + p - q) * r) / s


for n in numbers:
    for p in numbers:
        if p in [n]:
            continue
        for q in numbers:
            if  q in [n, p]:
                continue
            for r in numbers:
                if  r in [n, p, q]:
                    continue
                for s in numbers:
                    if s in [n, p, q, r]:
                        continue

                    if is_integer(n, p, q, r, s):
                        values.append(calculate(n, p, q, r, s))
                        if calculate(n, p, q, r, s) == 2:
                            print n, p, q, r, s

print values
print min(values)