# Array integer product

`array-integer-product` · version 1.0.0 · Numbers & math · free, no key needed

Multiply an array of canonical integer strings and return the canonical product.

**Use when you need to: array integer product · product of integer array · multiply canonical integer strings.**

## Supported

- array integer product
- product of integer array
- multiply canonical integer strings

## Not supported

- floating point product
- factorial
- csv column product
- mean

## Behavior

- Input values is an array of canonical base-10 integer strings with at most 10000 items.
- A canonical integer is 0 or an optional ASCII minus followed by a non-zero leading digit and only digits after that.
- Input -0 is accepted and canonicalized to 0; plus signs, spaces, underscores, hex, exponents, empty strings, and other leading zeros are rejected.
- Each value is parsed with BigInt. IEEE-754 numbers are rejected.
- The empty array is the empty product and returns 1.
- If any value is 0, the product is 0 after every element has been validated.
- The output product is a canonical integer string of at most 1000 digits excluding the sign; otherwise the error is "product exceeds the 1000 digit limit".

## Input

- `values` (array of string, required): max items 10000; each max length 1001; each pattern `^-?(0|[1-9][0-9]*)$`

## Output

- `product` (string, required): max length 1001; pattern `^(0|-?[1-9][0-9]*)$`

## Limits

- max items: 10000
- max digits: 1000

## Example

Request input:

```json
{
  "values": [
    "12",
    "13"
  ]
}
```

Response:

```json
{
  "result": {
    "product": "156"
  }
}
```

## How to call it

### MCP

Connect `https://computefirst.net/mcp` ([setup](/docs#connect)), then call `execute` with:

```json
{
  "id": "array-integer-product",
  "version": "1.0.0",
  "input": {
    "values": [
      "12",
      "13"
    ]
  }
}
```

### HTTP (no key)

```sh
curl -X POST https://computefirst.net/v1/tools/array-integer-product/versions/1.0.0/execute \
  -H "Content-Type: application/json" \
  -d '{"values":["12","13"]}'
```

The machine-readable contract is at [/v1/tools/array-integer-product/versions/1.0.0](/v1/tools/array-integer-product/versions/1.0.0).

### CLI

```sh
node cli.mjs run array-integer-product 1.0.0 --input input.json --base-url https://computefirst.net
```

Get the client at [/clients/cli/](/clients/cli/).

## Related tools

- [Array integer cumulative sum](/tools/array-integer-cumulative-sum): Replace an array of canonical integer strings with equal-length prefix sums.
- [Array integer median](/tools/array-integer-median): Select lower and upper middle canonical integers; emit median only for odd length.
- [Array integer mode](/tools/array-integer-mode): Return the most frequent canonical integers, listing every mode in first-seen order.
- [Array integer sum](/tools/array-integer-sum): Sum an array of canonical integer strings and return the canonical total.
- [Array integer adjacent diff](/tools/array-integer-adjacent-diff): Replace an array of canonical integer strings with consecutive first differences.
- [Array integer GCD](/tools/array-integer-gcd): Compute the non-negative greatest common divisor of an array of canonical integer strings.