Buggy python submission (verdict: Time Limit Exceeded):
import sys
# import math
import itertools
# import functools
import operator

def resolve(in_):
    N = int(next(in_))
    A = tuple(map(int, next(in_).split()))

    max_a = max(A)
    temp = [0] * (max_a + 1)
    temp[1] = 1

    for i in range(2, max_a + 1):
        if temp[i]:
            continue

        j = i
        while j < max_a + 1:
            if not temp[j]:
                temp[j] = i
            j += i

    B = []
    for a in A:
        s = set()
        while a > 1:
            s.add(temp[a])
            a = a // temp[a]
        B.append(s)
    
    C = tuple(filter(lambda x: x > 1, itertools.chain.from_iterable(B)))
    D = frozenset(C)
    if len(C) == len(D):
        return 'pairwise coprime'

    # if functools.reduce(math.gcd, A) == 1:
    # v = tuple(itertools.accumulate(B, operator.and_))
    if not all(itertools.accumulate(B, operator.and_)):
        return 'setwise coprime'

    return 'not coprime'
    

def main():
    answer = resolve(sys.stdin.buffer)
    print(answer)


if __name__ == '__main__':
    main()


Fixed submission:
import sys
import math
import functools

def resolve(in_):
    N = int(next(in_))
    A = tuple(map(int, next(in_).split()))

    max_a = max(A)
    temp = [0] * (max_a + 1)
    temp[1] = 1

    for i in range(2, max_a + 1):
        if temp[i]:
            continue

        j = i
        while j < max_a + 1:
            if not temp[j]:
                temp[j] = i
            j += i

    B = set()
    for a in A:
        s = set()
        while a > 1:
            s.add(temp[a])
            a = a // temp[a]
        for v in s:
            if v in B:
                if functools.reduce(math.gcd, A) == 1:
                    return 'setwise coprime'
                else:
                    return 'not coprime'
            B.add(v)
    
    return 'pairwise coprime'
    

def main():
    answer = resolve(sys.stdin.buffer)
    print(answer)


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
# import math
import itertools
# import functools
import operator

def resolve(in_):
    N = int(next(in_))
    A = tuple(map(int, next(in_).split()))

    max_a = max(A)
    temp = [0] * (max_a + 1)
    temp[1] = 1

    for i in range(2, max_a + 1):
        if temp[i]:
            continue

        j = i
        while j < max_a + 1:
            if not temp[j]:
                temp[j] = i
            j += i

    B = []
    for a in A:
        s = set()
        while a > 1:
            s.add(temp[a])
            a = a // temp[a]
        B.append(s)
    
    C = tuple(filter(lambda x: x > 1, itertools.chain.from_iterable(B)))
    D = frozenset(C)
    if len(C) == len(D):
        return 'pairwise coprime'

    # if functools.reduce(math.gcd, A) == 1:
    # v = tuple(itertools.accumulate(B, operator.and_))
    if not all(itertools.accumulate(B, operator.and_)):
        return 'setwise coprime'

    return 'not coprime'
    

def main():
    answer = resolve(sys.stdin.buffer)
    print(answer)


if __name__ == '__main__':
    main()


Fixed submission:
import sys
import math
import functools

def resolve(in_):
    N = int(next(in_))
    A = tuple(map(int, next(in_).split()))

    max_a = max(A)
    temp = [0] * (max_a + 1)
    temp[1] = 1

    for i in range(2, max_a + 1):
        if temp[i]:
            continue

        j = i
        while j < max_a + 1:
            if not temp[j]:
                temp[j] = i
            j += i

    B = set()
    for a in A:
        s = set()
        while a > 1:
            s.add(temp[a])
            a = a // temp[a]
        for v in s:
            if v in B:
                if functools.reduce(math.gcd, A) == 1:
                    return 'setwise coprime'
                else:
                    return 'not coprime'
            B.add(v)
    
    return 'pairwise coprime'
    

def main():
    answer = resolve(sys.stdin.buffer)
    print(answer)


if __name__ == '__main__':
    main()