Python: Compute the largest product of three integers from a given list of integers

Last update on April 17 2025 13:05:32 (UTC/GMT +8 hours)

Largest Product of Three Integers

Write a Python program to compute the largest product of three integers from a given list of integers.

Sample Solution:

Python Code:

# Define a function to find the largest product of three elements in a list
def largest_product_of_three(nums):
    # Initialize the maximum value with the second element in the list
    max_val = nums[1]

    # Iterate through each element in the list to find the maximum product of three elements
    for i in range(len(nums)):
        for j in range(i+1, len(nums)):
            for k in range(j+1, len(nums)):
                # Update the maximum value if a larger product is found
                max_val = max(nums[i] * nums[j] * nums[k], max_val)
                
    # Return the maximum product of three elements
    return max_val
    
# Test the function with different lists of numbers
print(largest_product_of_three([-10, -20, 20, 1]))
print(largest_product_of_three([-1, -1, 4, 2, 1]))
print(largest_product_of_three([1, 2, 3, 4, 5, 6]))

Sample Output:

4000
8
120

Explanation:

Here is a breakdown of the above Python code:

The function "largest_product_of_three()" takes a list of numbers ('nums') as input.
It initializes the maximum value ('max_val') with the second element in the list.
It uses three nested loops to iterate through all possible combinations of three elements in the list.
For each combination, it calculates the product of the three elements and updates the maximum value if a larger product is found.
Finally, the function returns the maximum product of three elements.
The function is tested with different lists of numbers.

Visual Presentation:

Python: Compute the largest product of three integers from a given list of integers.

Flowchart:

For more Practice: Solve these Related Problems:

Write a Python program to compute the largest product of any three integers from a given list by sorting the list.
Write a Python program to determine the maximum product triplet in an array, considering both positive and negative numbers.
Write a Python program to find the largest product of three numbers by comparing the product of the three largest numbers with the product of the two smallest and the largest number.
Write a Python program to calculate the maximum product of three elements from an unsorted list using combinatorial analysis.

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