Buggy python submission (verdict: Runtime Error):
K = int(input())
 
x = np.arange(1, K + 1)
nums = np.gcd.outer(np.gcd.outer(x, x), x)
print(nums.sum())

Fixed submission:
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
import numpy as np
 
K = int(read())
 
x = np.arange(1, K + 1)
nums = np.gcd.outer(np.gcd.outer(x, x), x)
print(nums.sum())

Buggy python submission (verdict: Runtime Error):
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
import numpy as np
 
K = int(float(read())
 
x = np.arange(1, K + 1)
nums = np.gcd.outer(np.gcd.outer(x, x), x)
print(nums.sum())

Fixed submission:
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
import numpy as np
 
K = int(read())
 
x = np.arange(1, K + 1)
nums = np.gcd.outer(np.gcd.outer(x, x), x)
print(nums.sum())

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np

k = int(input())

abc = []
abc = [[a,b,c] for a in range(1,k+1) for b in range(1,k+1) for c in range(1,k+1) ]

answer = 0
for i in range(len(abc)):
    answer += np.gcd.reduce(abc[i])

print(answer)

Fixed submission:
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
import numpy as np
 
K = int(read())
 
x = np.arange(1, K + 1)
nums = np.gcd.outer(np.gcd.outer(x, x), x)
print(nums.sum())

Buggy python submission (verdict: Runtime Error):
import numpy as np

k = int(input())

answer = 0
for a in range(1, k+1):
    for b in range(1, k+1):
        for c in range(1, k+1):
            answer += np.gcd.reduce([a,b,c])

print(answer)

Fixed submission:
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
import numpy as np
 
K = int(read())
 
x = np.arange(1, K + 1)
nums = np.gcd.outer(np.gcd.outer(x, x), x)
print(nums.sum())

Buggy python submission (verdict: Time Limit Exceeded):
import math
import numpy as np

k = int(input())

answer = 0
for a in range(1, k+1):
    for b in range(1, k+1):
        for c in range(1, k+1):
            answer += np.gcd.reduce([a,b,c])

print(answer)

Fixed submission:
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
import numpy as np
 
K = int(read())
 
x = np.arange(1, K + 1)
nums = np.gcd.outer(np.gcd.outer(x, x), x)
print(nums.sum())

Buggy python submission (verdict: Runtime Error):
import math
import numpy as np

k = int(input())



def gcd(*numbers):
    return reduce(math.gcd, numbers)

answer = 0
for a in range(1, k+1):
    for b in range(1, k+1):
        for c in range(1, k+1):
            answer += np.gcd.reduce([a,b,c])

print(answer)

Fixed submission:
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
import numpy as np
 
K = int(read())
 
x = np.arange(1, K + 1)
nums = np.gcd.outer(np.gcd.outer(x, x), x)
print(nums.sum())

Buggy python submission (verdict: Runtime Error):
k = int(input())

import math

def gcd(*numbers):
    return reduce(math.gcd, numbers)

answer = 0
for a in range(1, k+1):
    for b in range(1, k+1):
        for c in range(1, k+1):
            answer += gcd(a,b,c)

print(answer)

Fixed submission:
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
import numpy as np
 
K = int(read())
 
x = np.arange(1, K + 1)
nums = np.gcd.outer(np.gcd.outer(x, x), x)
print(nums.sum())